Publications 1980-2012 - Maths KU

Publications 1980-2012
[1] V. Laohakosol and P. Ubolsri, A short note on integral-valued polynomials, Southeast Asian Bull.
Math. 4(1980), 43-47.
[2] V. Laohakosol, A counter-example to Schmidt’s conjecture, Southeast Asian Bull. Math. 4(1980),
48-49.
[3] V. Laohakosol, On Newton’s method in complete fields, Kyungpook Math. J. 20(1980), 91-93.
[4] V. Laohakosol and Jane Pitman, Applications of p-adic interpolation to exponential polynomials and
sums of powers, J. Aust. Math. Soc. Ser. A 30(1981), 419-437.
[5] V. Laohakosol, Certain functions associated with polynomials and some number theoretic applications,
Bull. Inst. Math. Acad. Sinica 11(1983), 625-632.
[6] V. Laohakosol, A modified proof of transcendence of the p-adic exponential function, Southeast Asian
Bull. Math. 8(1984), 5-9.
[7] V. Laohakosol and R. Roenrom, A remark on a result of L. Kuipers, Southeast Asian Bull. Math.
8(1984), 22-23.
[8] V. Laohakosol and W. Surakampontorn, p-adic transforms, Electronics Lett. 20(1984), 726-727.
[9] V. Laohakosol, An arithmetic property of the Taylor coefficients of analytic functions with and application
to transcendental numbers, Proc. Amer. Math. Soc. 93(1985), 212-214.
[10] V. Laohakosol, A characterization of rational numbers by p-adic Ruban continued fractions, J. Austral.
Math. Soc. Ser. A 39(1985), 300-305.
[11] V. Laohakosol and N. Roenrom, A third order analog of a result of L. Carlitz, Fibonacci Quart.
23(1985), 194-198.
[12] V. Laohakosol and P. Ubolsri, Some algebraically independent continued fractions, Proc. Amer. Math.
Soc. 95(1985), 169-173.
[13] V. Laohakosol and S. Tantikul, Reciprocal sums of differences of zeros of entire functions satisfying
linear differential equations, Southeast Asian Bull. Math. 9(1985), 72-76.
[14] K. Kongsakorn and V. Laohakosol, A generalization of Eisenstein’s theorem, Bull. Inst. Math. Acad.
Sinica 14(1986), 149-162.
[15] V. Laohakosol and P. Ubolsri, Continued fractions representing transcendental numbers, Bull.
Malaysian Math. Sci. Soc. 9(1986), 1-21.
[16] V. Laohakosol, A p-adic upper bound for the coefficients of a power series satisfying an algebraic
differential equation, J. Natl. Res. Council Thailand 18(2)(1986), 1-16.
[17] K. Kongsakorn and V. Laohakosol, Power series solutions of linear differential equations with polynomial
coefficients, Southeast Asian Bull. Math. 11(1987), 13-17.
[18] V. Laohakosol and P. Ubolsri, Inequalities related to generalized means, Tamkang J. Math. 18(1987),
53-58.
[19] V. Laohakosol and P. Ubolsri, p-adic continued fractions of Liouville type, Proc. Amer. Math.
Soc.101(1987), 403-410.
[20] V. Laohakosol, J.H. Loxton and A.J. van der Poorten, Integer-valued p-adic functions, Colloq. Math.
Soc. Janos Bolyai 51(1987), 829-849.
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[21] W. Surakampontorn and V. Laohakosol, Convolution by p-adic transforms, J. Natl. Res. Council
Thailand 19(2)(1987), 33-46.
[22] V. Laohakosol, K. Kongsakorn and R. Arunbanjerdkul, Newton’s series, factorial series and partial
sums as solutions of linear difference equations, Bull. Inst. Math. Acad. Sinica 16(1988), 83-91.
[23] V. Laohakosol and U. Leerawat, Inequalities related to power sums, Soochow J. Math. 14(1988),
93-104.
[24] V. Laohakosol, K. Kongsakorn and U. Leerawat, Difference-algebraic functions and difference-coherent
families, Proc. 4th Franco-SEAMS Conf. Math. Methods, Vol. II, Chiang Mai, May 1988, 22 pp.
[25] V. Laohakosol, Some extensions of the Skolem-Mahler-Lech theorem, Expo. Math. 7(1989), 137-157.
[26] V. Laohakosol, K. Kongsakorn and U. Leerawat, Some arithmetic functions algebraically independent
with respect to convolution, Soochow J. Math. 15(1989), 171-178.
[27] V. Laohakosol, K. Kongsakorn and U. Leerawat, Algebraic independence test of arithmetic functions
using Jacobians, J. Sci. Soc. Thailand 15(1989), 133-138.
[28] V. Laohakosol, K. Kongsakorn and P. Ubolsri, Denominators in the coefficients of power series satisfying
linear differential equations, J. Korean Math. Soc. 26(1989), 167-173.
[29] V. Laohakosol, K. Kongsakorn and P. Ubolsri, Coefficients of differentially algebraic series, J. Aust.
Math. Soc. Ser. A 48 (1990), 402-412.
[30] V. Laohakosol, Eisenstein’s theorem and arithmetic properties of power series, J. Natl. Res. Council
Thailand 22(2)(1990), 1-13.
[31] V. Laohakosol, Approximation of exponentials in the p-adic domain, Kasetsart J. (Nat. Sci.) 25(1991),
484-488.
[32] Jean-Paul Bezivin and V. Laohakosol, On the theorem of Skolem-Mahler-Lech, Expo. Math. 9(1991),
89-96.
[33] V. Laohakosol, K. Kongsakorn and P. Ubolsri, Power series of Eisenstein-Hurwitz-Carlitz type, Bull.
Inst. Math. Acad. Sinica 20(3)(1992), 195-210.
[34] V. Laohakosol, Dependence of arithmetic functions and Dirichlet series, Proc. Amer. Math. Soc.
115(1992), 637-645.
[35] U. Leerawat and V. Laohakosol, Symbolic integration for line integrals II, Kasetsart J. (Nat. Sci.)
27(1993), 376-381.
[36] V. Laohakosol, Characterizing discrete exponential polynomials by Casorati’s determinants, J. Sci.
Soc. Thailand 23(1997), 35-40.
[37] V. Laohakosol, Divisors of some arithmetic functions, Proc. 2nd Asian Math. Conf., Suranaree Univ.,
Nakorn Ratchsima, Thailand, October 17-20, 1995, World Scientific, Singapore 1998, pp.139-151.
[38] V. Laohakosol, A p-adic lower bound for polynomial evaluated at an algebraic number, J. Sci. Soc.
Thailand 24(1998), 129-132.
[39] V. Laohakosol, Bases for integer-valued polynomials in a Galois field, Acta Arith.
LXXXXVII.1(1998), 13-26.
[40] V. Laohakosol and K. Kongsakorn, Multiply integer-valued polynomials in a Galois field, Bull.
Malaysian Math. Sci. Soc. (2nd ser.) 22(1999), 45-52.
[41] V. Laohakosol, K.Kongsakorn and P. Ubolsri, Some transcendental elements in positive characteristic,
ScienceAsia 26(2000), 39-48.
[42] V. Laohakosol, N. Sukvaree and M. Maiya, Denominators of algebraic numbers, Kasetsart J. (Nat.
Sci.) 34(3)(2000), 431-437.
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[43] V. Laohakosol, N. Pabhapote and N. Wechwiriyakul, Arithmetic functions and operators, ScienceAsia
27(2001), 199-202.
[44] V. Laohakosol, N. Pabhapote and N. Wechwiriyakul, Logarithmic operators and characterizations of
completely multiplicative functions, Southeast Asian Bull. Math. 25(2001), 273-281.
[45] P. Ruangsinsap, V. Laohakosol and P. Udomkavanich, Arithmetic functions over rings with zero
divisors, Bull. Malaysian Math. Sci. Soc. 24(2001), 81-91.
[46] P. Ubolsri, V. Laohakosol and K. Kongsakorn, Bessel function in Galois fields, Kasetsart J. (Nat.
Sci.) 35(1)(2001), 110-113.
[47] P. Kuhapatanakul and V. Laohakosol, Irrationality of some series with rational terms, Kasetsart J.
(Nat. Sci.) 35(2)(2001), 205-209.
[48] C. Chuntra and V. Laohakosol, Some estimates involving density of algebraic numbers and integer
polynomials, Kasetsart J. (Nat. Sci.) 35(2)(2001), 210-223.
[49] U. Leerawat and V. Laohakosol, A generalization of Liouville’s theorem on integration in finite terms,
J. Korean Math. Soc. 39(2002), 13-30.
[50] V. Laohakosol, N. Pabhapote and N. Wechwiriyakul, Characterizing completely multiplicative functions
by generalized Mobius functions, Int. J. Math. Math. Sci. 29(2002), 633-639.
[51] V. Laohakosol and A. Sripayap, Remarks on k-fold integer-valued polynomials, Bull. Korean Math.
Soc. 39(2002), 165-174.
[52] S. Janphaisaeng, V. Laohakosol and A. Harnchoowong, Some new classes of permutation polynomials,
ScienceAsia 28(4)(2002), 401-405.
[53] M. Yodphotong and V. Laohakosol, Proofs of Zaremba’s conjecture for powers of 6, Proc. Inter. Conf.
Algebra Appl., Chulalongkorn Univ., Bangkok, March 18-22, 2002, pp. 278-282.
[54] K. Wiboonton, V. Laohakosol and A. Harnchoowong, Coefficients and exponents of power series
representing rational functions, ScienceAsia 29(2003), 175-179.
[55] P. Ruengsinsub and V. Laohakosol, Factorizing arithmetic functions, Int. J. Pure Appl. Math.
9(2)(2003), 237-251.
[56] V. Laohakosol and B. Yuttanan, Periodicity of integer sequences, Thai J. Math. 1(2003), 37-48.
[57] V. Laohakosol and N. Pabhapote, Completely multiplicative functions arising from simple operations,
Int. J. Math. Math. Sci. 9(11)(2004), 431-441.
[58] W. Narkiewicz, P. Ruengsinsub and V. Laohakosol, An addendum to the paper ” Arithmetic functions
over rings with zero divisors”, Bull. Malaysian Math. Sci. Soc. 27(2004), 87-90.
[59] V. Laohakosol and J. Chalermchai, Representing natural numbers as unique sums of positive integers,
J. Korean Soc. Math. Educ. Ser. B Pure Appl. Math. 11(1)(2004), 63-72.
[60] S. Talwong , V. Laohakosol and S.S. Cheng, Power function solutions of iterative functional differential
equations, Appl. Math. E-Notes 4(2004), 160-163.
[61] V. Laohakosol and N. Pabhapote, On generalized Rearick logarithm, ScienceAsia 30(2004), 289-292.
[62] V. Laohakosol, T. Chaichana and Y. Yodphothong, An estimate on the number of rationals whose
partial quotients are bounded, Contribution in General Algebra (NCAM 2003-2004), pp. 41-43, ed.
By N.V. Sanh and N. Pabhapote. A special volume published by East-West J. Math., Bangkok, 2004.
[63] V. Laohakosol, B. Srihirun and S. Tanai-adchawooit, Non-Liouvillian solutions of some transcendental
equations, Contribution in General Algebra (NCAM 2003-2004), pp. 45-50, ed. By N.V. Sanh and N.
Pabhapote. A special volume published by East-West J. Math., Bangkok, 2004.
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[64] V. Laohakosol and W. Rungrottheera, Recurrent step equations with constant coefficients, Contribution
in General Algebra (NCAM 2003-2004), pp. 51-60, ed. By N.V. Sanh and N. Pabhapote. A
special volume published by East-West J. Math., Bangkok, 2004.
[65] O. Phuksuwan, P. Udomkavanich and V. Laohakosol, An analysis of Ritt’s factorization for exponential
sums, Contribution in General Algebra (NCAM 2003-2004), pp. 61-72, ed. By N.V. Sanh and N.
Pabhapote. A special volume published by East-West J. Math., Bangkok, 2004.
[66] S. Talwong and V. Laohakosol, Iterative equations with linear monomial solutions, Contribution in
General Algebra (NCAM 2003-2004), pp. 119-125, ed. By N.V. Sanh and N. Pabhapote. A special
volume published by East-West J. Math., Bangkok, 2004.
[67] P. Ruengsinsub, V. Laohakosol and P. Udomkavanich, Observations about algebraic dependence of
Dirichlet series, J. Korean Math. Soc. 42(2005), 695-708.
[68] A. Chantanasiri and V. Laohakosol, Reducibility of four term polynomials, Int. J. Pure Appl. Math.
23(2)(2005), 179-194.
[69] V. Laohakosol and N. Pabhapote, Properties of rational arithmetic functions, Int. J. Math. Math.
Sci. 2005:24(2005), 3997-4017.
[70] N. Pabhapote, V. Laohakosol and P. Ruengsinsub, Two aspects of generalized Möbius functions:
Landau, Brauer-Radamacher identities and dependence, Int. J. Pure Appl. Math. 25(2)(2005), 225-
243.
[71] S. Tadee and V. Laohakosol, Complementary sets and Beatty functions, Thai J. Math. 3(1)(2005),
27-33.
[72] S. S. Cheng, S. Talwong and V. Laohakosol, Exact solutions of iterative functional differential equations,
Computing 76(2006), 67-76.
[73] V. Laohakosol and N. Rompurk, A characterization of rational elements by Lüroth type series expansions
in the p-adic number field and in the field of Laurent series over a finite field, Acta Arith.
122(2006), 195-205.
[74] P. Riyapan, V. Laohakosol and T. Chaichana, Two types of explicit continued fractions, Period. Math.
Hungar. 52(2)(2006), 51-72.
[75] Watcharapon Pimsert, Vichian Laohakosol and Sajee Pianskool, Cauchy’s functional equation in
restricted complex domains, Int. J. Math. Math. Sci. 2006(2006), Article ID 69368, 12 pages.
[76] V. Laohakosol, N. Rompurk Kanasri and A. Harnchoowong, Characterizing rational elements using
Knopfmachers’ expansions in function fields, Thai J. Math. 4(1)(2006), 223-244.
[77] T. Chaichana, V. Laohakosol and A. Harnchoowong, Linear independence of continued fractions in
the field of formal series over a finite field, Thai J. Math. 4(1)(2006), 163-177.
[78] V. Laohakosol, P. Ruengsinsub and N. Pabhapote, Ramanujan sums via generalized Möbius functions
and applications, Int. J. Math. Math. Sci. Volume 2006, Article ID 60528, 34 pages.
[79] V. Laohakosol and W. Rungrottheera, Entire function solutions of a system of two recurrent step
equations, J. Math. Anal. Appl. 335(2007), 280-297.
[80] T. Chaichana and V. Laohakosol, Independence of continued fractions in the field of Laurent series,
Period. Math. Hungar. 55(1)(2007), 35-59.
[81] V. Laohakosol and N. Rompurk Kanasri, A characterization of rational numbers by p-adic Sylvester
series expansions, Acta Arith. 130(4)(2007), 389-402.
[82] V. Laohakosol and S. Janphaisaeng, A note on quasi-permutation polynomials, East-West J. Math.
9(2)(2007), 161-172.
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[83] V. Laohakosol and U. Pintoptang, A modification of Fitzgeald’s characterization of primitive polynomials
over a finite field, Finite Fields Appl. 14(2008), 85-91.
[84] V. Laohakosol and U. Pintoptang, Lengths, periods and expansions of elements written with respect
to a digit system over F q [x], Finite Fields Appl. 14(2008), 142-158.
[85] V. Laohakosol and K. Kuhapatanakul, The irrationality criteria of Brun and Badea are essentially
equivalent, in Diophantine Analysis and Related Fields (DARF 2007/2008), AIP Conf. Proc. 976 ,
pp. 144-159, Amer. Inst. Phys., Melville, NY, 2008.
[86] V. Laohakosol and T. Chaichana, Characterizing rational elements by two continued fractions in
the prime-adic function field, Contributions in General Algebra II, Proceedings of the International
Conference on Discrete Mathematics and Applications, Bangkok, March 5-7, 2008; a special volume
published by East-West J. Math., ed. by N.V. Sanh and N. Pabhapote, pp. 45-52.
[87] V. Laohakosol, T. Yantassanavanich and U. Pintoptang, Vanishing sums and n-gon polynomials,
Contributions in General Algebra II, Proceedings of the International Conference on Discrete Mathematics
and Applications, Bangkok, March 5-7, 2008; a special volume published by East-West J.
Math., ed. by N.V. Sanh and N. Pabhapote, pp. 53-62.
[88] V. Laohakosol, W. Pimsert and P. Udomkavanich, Dependence relations among solutions of a universal
Cauchy’s functional equation, Contributions in General Algebra II, Proceedings of the International
Conference on Discrete Mathematics and Applications, Bangkok, March 5-7, 2008; a special volume
published by East-West J. Math., ed. by N.V. Sanh and N. Pabhapote, pp. 99-108.
[89] V. Laohakosol and K. Kuhapatanakul, The reverse irrationality criteria of Brun and Badea, Contributions
in General Algebra II, Proceedings of the International Conference on Discrete Mathematics
and Applications, Bangkok, March 5-7, 2008; a special volume published by East-West J. Math., ed.
by N.V. Sanh and N. Pabhapote, pp. 217-234.
[90] V. Laohakosol, P. Udomkavanich and C. Hengkrawit, Some functional equations characterizing
trigonometric and hyperbolic tangent and allied functions, Contributions in General Algebra II, Proceedings
of the International Conference on Discrete Mathematics and Applications, Bangkok, March
5-7, 2008; a special volume published by East-West J. Math., ed. by N.V. Sanh and N. Pabhapote,
pp. 235-242.
[91] C. Hengkrawit, V. Laohakosol, P. Udomkavanich and Janyarak Tongsomporn, Some hyperbolic sinecosine
type functional equations, East-West J. Math. 10(2)(2008), 127-132.
[92] V. Laohakosol and K. Kuhapatanakul, Irrationality criteria for infinite products, J. Combinatorics
and Number Theory 1(1)(2009), 49-57.
[93] W. Pimsert, V. Laohakosol and P. Udomkavanich, Independence among various versions of the
Cauchy’s functional equation, Chamchuri J. Math. 1(2009), 45-50.
[94] V. Laohakosol and P. Vichitkunakorn, A non-regular continued fraction and its characterization
property, Chamchuri J. Math. 1(2009), 81-86.
[95] V. Laohakosol, K. Kuhapatanakul and O. Panprasitwech, Reciprocal sums of elements in a binary
recurrence sequence, in New Aspects of Analytic Number Theory, RIMS Kôokyûroku 1639, April
2009, Research Institute for Mathematical Sciences, Kyoto University, Japan, pp. 12-27.
[96] V. Laohakosol and P. Tangsupphathawat, Positivity of third order linear recurrence sequences, Discrete
Applied Math. 157(2009), 3239-3248.
[97] V. Laohakosol and K. Kuhapatanakul, Reciprocal sums of generalized second order recurrence sequences,
Fibonacci Quart. 46/47(no. 4, 2008/2009), 316-325.
[98] V. Laohakosol, T. Chaichana, N. Rompurk Kanasri and J. Rattanamoong, Engel series and Cohenegyptian
fraction expansions, Int. J. Math. Math. Sci., Volume 2009, Article ID 865705, 15 pages.
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[99] O. Panprasitwech, V. Laohakosol and T. Chaichana, Linear fractional transformations of continued
fractions with bounded partial quotients in the field of formal series, East-West J. Math. 101(2)(2009),
185-194.
[100] J. Tongsomporn, V. Laohakosol, C. Hengkrawit and P. Udomkavanich, Stability of a generalized
trigonometric functional equation, J. Computational and Applied Math. 234(5)(2010), 1448-1457.
[101] V. Laohakosol and S. Janphaisaeng, Quasi-permutation polynomials, Czechoslovak Math. J. 60(2)
(2010), 457-488.
[102] T. Komatsu and V. Laohakosol, On the sum of reciprocal numbers satisfying the recurrence relation
of the s-th order, J. Integer Sequences 13(2010), Article 10.5.8, 9 pp.
[103] D. Chunarom and V. Laohakosol, Expansions of real numbers in non-integer bases, J. Korean Math.
Soc. 47(4)(2010), 860-877.
[104] T. Chaichana, T. Komatsu and V. Laohakosol, Liouville numbers in the non-archimedean case, Publ.
Math. Debrecen 77(1-2)(2010), 39-63.
[105] C. Hengkrawit, V. Laohakosol and P. Udomkavanich, Rational recursive equations characterizing
cotangent-tangent and hyperbolic cotangent-tangent functions, Bull. Malaysian Math. Sci. Soc.
(2)33(3)(2010), 421-428.
[106] N. Pabhapote and V. Laohakosol, Distributive property of completely multiplicative functions, Lithuanian
Math. J. 50(3)(2010), 312-322.
[107] N. Pabhapote and V. Laohakosol, Combinatorial aspects of the generalized Euler’s totient, International
Journal of Mathematics and Mathematical Sciences, Volume 2010, Article ID 648165, 15
pages.
[108] V. Laohakosol, P. Tangsupphathawat and S. Dangskul, Values taken by the cosine function and its
linear combination, Appl. Math. E-Notes 10(2010), 184-190.
[109] T. Chaichana, V. Laohakosol, Independence of Liouville series, in ICMS International Conference on
Mathematical Science (Bolu, Turkey), ed. Cenap Ozel and Adem Kilicman, AIP Conference Proceeding
1309 , pp. 200-205, American Institute of Physics, Melville, NY, 23-27 November 2010. ISBN
978-0-7354-0863-0.
[110] V. Laohakosol and W. Pimsert, A universal Cauchy functional equation over the positive reals II, in
ICMS International Conference on Mathematical Science (Bolu, Turkey), ed. Cenap Ozel and Adem
Kilicman, AIP Conference Proceeding 1309 , pp. 623-628, American Institute of Physics, Melville,
NY, 23-27 November 2010. ISBN 978-0-7354-0863-0.
[111] O. Panprasitwech, V. Laohakosol and T. Chaichana, Symmetric continued fractions, in ICMS International
Conference on Mathematical Science (Bolu, Turkey), ed. Cenap Ozel and Adem Kilicman,
AIP Conference Proceeding 1309 , pp. 745-750, American Institute of Physics, Melville, NY, 23-27
November 2010. ISBN 978-0-7354-0863-0.
[112] J. Rattanamoong, V. Laohakosol and T. Chaichana, An analogue of an expansion of Oppenheim in a
field of formal series, in ICMS International Conference on Mathematical Science (Bolu, Turkey), ed.
Cenap Ozel and Adem Kilicman, AIP Conference Proceeding 1309 , pp. 786-792, American Institute
of Physics, Melville, NY, 23-27 November 2010. ISBN 978-0-7354-0863-0.
[113] P. Ruengsinsub and V. Laohakosol, Linear dependence of two arithmetic functions, in ICMS International
Conference on Mathematical Science (Bolu, Turkey), ed. Cenap Ozel and Adem Kilicman,
AIP Conference Proceeding 1309 , pp. 799-804, American Institute of Physics, Melville, NY, 23-27
November 2010. ISBN 978-0-7354-0863-0.
[114] C. Hengkrawit, V. Laohakosol and J. Tongsomporn, A note on the stability of a generalized
trigonometric functional equation, in ICMS International Conference on Mathematical Science (Bolu,
Turkey), ed. Cenap Ozel and Adem Kilicman, AIP Conference Proceeding 1309 , pp. 909-914, American
Institute of Physics, Melville, NY, 23-27 November 2010. ISBN 978-0-7354-0863-0.
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[115] K. Kuhapatanakul and V. Laohakosol, Reciprocal sums of elements satisfying second order linear
recurrences, Chamchuri J. Math. 2(October 2010), 93-100. ISSN 1906554X
[116] T. Komatsu, V. Laohakosol and P. Ruengsinsub, Independence measures of arithmetic functions, J.
Number Theory 131(1)(2011), 1-17.
[117] V. Laohakosol and W. Pimsert, A universal Cauchy functional equation over the positive reals, J.
Math. Anal. Appl. 375(2)(2011), 777-789.
[118] C. Hengkrawit, V. Laohakosol and W. Pimsert, Rational divide-and-conquer relations, ISRN Mathematical
Analysis, Volume 2011, Article ID 908508, 14 pages.
[119] C. Hengkrawit, V. Laohakosol and W. Pimsert, Solutions of a class of nonlinear recursive equations
and applications, ScienceAsia 37(2011), 136-144.
[120] S. Prugsapitak and V. Laohakosol, Some families of Diophantine quadruples, ScienceAsia 37(2011),
152-159.
[121] C. Hengkrawit, V. Laohakosol and J. Tongsomporn, A stability result for a generalized trigonometricquadratic
functional equation with one unbounded function, WSEAS Trans. Math. Issue 8, Volume
10, August 2011, 279-290. ISSN 1109-2769.
[122] V. Laohakosol and W. Rungrottheera, Entire function solutions of a system of two recurrent step
equations with exponential polynomial coefficients, J. Difference Eqn. Appl. 17(11)(2011), 1695-1710.
[123] Ouamporn Phuksuwan and Vichian Laohakosol, A factorization theorem for generalized exponential
polynomials with infinitely many integer zeros, Acta Mathematica Academiae Paedagogicae
Nyíregyháziensis 27(2)(2011), 211-221. ISSN 1786-0091.
[124] Piriya Prunglerdbuathong, Kiattisak Prathom, Suton Tadee and Vichian Laohakosol, Functions and
differences whose roots have the same real part, Chamchuri J. Math. 2 (2011), 35-44.
[125] N. R. Kanasri and V. Laohakosol, Remarks on p-adic Cantor series expansions, Proc. International
Conf. on Algebra 2010: Advances in Algebraic Structures, held in honor of Prof. K. P. Shum on the
occasion of his 70th birthday, Gadjah Mada Univ., Indonesia, 7-10 Oct. 2010, eds. W. Hemakul, Sri
Wahyuni and Polly W. Sy, World Scientific, Singapore, 2012, pp. 346-355.
[126] Supreedee Dangskul, Vichian Laohakosol and Pinthira Tangsupphathawat, Values of sequences of
purely periodic functions, Appl. Math. E-Notes 12(2012), 5-13.
[127] T. Komatsu, V. Laohakosol and P. Ruengsinsub, Independence measures of arithmetic functions II,
Acta Arith. 153.2(2012), 199-216.
[128] Pattira Ruengsinsub, Vichian Laohakosol, Takao Komutsu and Sunanta Srisopha, Results about
dependence and convolution, in Analytic Number Theory–related Multiple aspects of Arithmetic
Functions, RIMS Kôokyûroku 1806, September 2012, Research Institute for Mathematical Sciences,
Kyoto University, Japan, pp. 54-64.
[129] Vichian Laohakosol, Watcharapon Pimsert, Charinthip Hengkrawit and Bruce Ebanks, Some logarithmic
functional equations, Archivum Mathematicum 48 (2012), 173-181.
[130] Pinthira Tangsupphathawat, Narong Punnim and Vichian Laohakosol, The positivity problem for
fourth order linear recurrence equences is decidable, Colloquium Mathematicum 128(1)(2012), 133-
142.
[2012.7] J. Rattanamoong, V. Laohakosol and T. Chaichana, A unified continued fraction expansion and
independence characterization, East-West J. Math. 14(1)(2012), 84-99.
[131] T. Chaichana, V. Laohakosol and J. Rattanamoong, Continued fractions representing certain analogues
of exponential elements in F q ((1/x)), East-West J. Math. 14(2)(2012), 138-143.
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