G. Gasper Using sums of squares to prove that ... - Fuchs-braun.com
G. Gasper Using sums of squares to prove that ... - Fuchs-braun.com
G. Gasper Using sums of squares to prove that ... - Fuchs-braun.com
Create successful ePaper yourself
Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.
[8] L. Carlitz, Some polynomials related <strong>to</strong> the ultraspherical polynomials, Portugaliae<br />
Math. 20 (1961), 127–136.<br />
[9] A. Erdelyi, Higher Transcendental Functions, vols. 1 and 2, McGraw Hill, New York,<br />
1953.<br />
[10] G. <strong>Gasper</strong>, Positive integrals <strong>of</strong> Bessel functions, SIAM J. Math. Anal. 6 (1975),<br />
868–881.<br />
[11] G. <strong>Gasper</strong>, Positivity and special functions, in Theory and Applications <strong>of</strong> Special<br />
Functions, R. Askey, ed., Academic Press, New York (1975), 375–433.<br />
[12] G. <strong>Gasper</strong>, Positive <strong>sums</strong> <strong>of</strong> the classical orthogonal polynomials, SIAM J. Math.<br />
Anal. 8 (1977), 423–447.<br />
[13] G. <strong>Gasper</strong>, A short pro<strong>of</strong> <strong>of</strong> an inequality used by de Branges in his pro<strong>of</strong> <strong>of</strong> the<br />
Bieberbach, Robertson and Milin conjectures, Complex Variables: Theory Appl. 7<br />
(1986), 45–50.<br />
[14] G. <strong>Gasper</strong>, q-Extensions <strong>of</strong> Clausen’s formula and <strong>of</strong> the inequalities used by de<br />
Branges in his pro<strong>of</strong> <strong>of</strong> the Bieberbach, Robertson, and Milin conjectures, SIAM J.<br />
Math. Anal. 20 (1989), 1019–1034.<br />
[15] G. <strong>Gasper</strong>, <strong>Using</strong> symbolic <strong>com</strong>puter algebraic systems <strong>to</strong> derive formulas involving<br />
orthogonal polynomials and other special functions, in Orthogonal Polynomials:<br />
Theory and Practice, ed. by P. Nevai, Kluwer Academic Publishers, Bos<strong>to</strong>n, 1989,<br />
163–179.<br />
[16] G. <strong>Gasper</strong> and M. Rahman, Basic Hypergeometric Series, Cambridge University<br />
Press, 1990.<br />
[17] E. Hille, Note on some hypergeometric series <strong>of</strong> higher order, J. London Math. Soc.<br />
4 (1929), 50–54.<br />
[18] J.L.W.V. Jensen, Recherches sur la théorie des équations, Acta Math. 36 (1913),<br />
181–195.<br />
[19] G. Pólya, Über die algebraisch-funktionentheoretischen Untersuchungen von<br />
J. L. W. V. Jensen, Kgl. Danske Videnskabernes Selskab. Math.-Fys. Medd. 7 (17)<br />
(1927), pp. 3–33; reprinted in his Collected Papers, Vol. II, pp. 278–308.<br />
[20] G. Szegő, Orthogonal Polynomials, 4th ed., Amer. Math. Soc. Colloq. Publ. 23, Providence,<br />
R.I. 1975.<br />
[21] E.C. Titchmarsh, The Theory <strong>of</strong> the Riemann Zeta-Function, 2nd edition (Revised<br />
by D.R. Heath-Brown), Oxford Univ. Press, Oxford and New York, 1986.<br />
[22] R.S. Varga, Scientific Computation on Mathematical Problems and Conjectures,<br />
CBMS-NSF Regional Conference Series in Applied Mathematics, SIAM, Philadelphia,<br />
1990.<br />
[23] G.N. Watson, Theory <strong>of</strong> Bessel Functions, Cambridge Univ. Press, Cambridge and<br />
New York, 1944.<br />
16