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316 V. Kiryakova[10] I. Dimovski, V. Kiryakova, Generalized Poisson transmutations andcorresponding representations of hyper-Bessel functions. C.R. Acad.Bulg. Sci. 39, No 10 (1986), 29-32.[11] I. Dimovski, V. Kiryakova, The Obrechkoff integral transform: Propertiesand relation to a generalized fractional calculus. Numerical Funct.Analysis and Optimization 21, No 1-2 (2000), 121-144.[12] A. Erdélyi et al. (Ed-s), Higher Transcendental Functions, Vol-s 1,2,3,McGraw-Hill, New York (1953).[13] R. Hearsh, The method of transmutations. In: Lecture Notes in Math.446 (1975), Springer-Verlag, New York, 264-282.[14] E. Kamke, Handbook on Ordinary Differential Equations. Nauka, Moscow(1976) (Russian Transl. from German: Differentialgleichungen:Losungsmethoden und Losungen, I, Gewohnliche Differentialgleichungen.B.G. Teubner, Leipzig (1959,1977); EN Transl.: Differential Equations.Solution Methods and Solutions, Teubner, Stuttgart (1983)).[15] V. Kiryakova, Generalized Fractional Calculus and Applications. LongmanSci. & Technical and J. Wiley & Sons, Harlow and N. York (1994).[16] V. Kiryakova, All the special functions are fractional differintegralsof elementary functions. J. Physics A: Math. & General 30, No 14(1997), 5085-5103.[17] V. Kiryakova, B. Al-Saqabi, Transmutation method for solvingErdélyi-Kober fractional differintegral equations. J. Math. Anal. Appl.211, No 1 (1997), 347-364.[18] V. Kiryakova, A brief story about the operators of the generalizedfractional calculus. Fract. Calc. Appl. Anal. 11, No 2 (2008), 203-220.[19] M. Ključantčev, Singular differential operators with (r−1) – parametersand Bessel functions of vector index. Sibirskij Matemat. Journal 24,No 3 (1983), 47-62 (In Russian).[20] A.A. Prudnikov, Yu.A. Brychkov, O.I. Marichev, Integrals and Series.More Special Functions. Gordon & Breach Sci. Publ., N. York etc.(1990).[21] S.G. Samko, A.A. Kilbas, O.I. Marichev, Fractional Integrals andDerivatives (Theory and Applications). Gordon & Breach Sci. Publ.,N. York etc. (1993).Institute of Mathematics and InformaticsBulgarian Academy of Sciences, ”Acad. G. Bontchev” Str., Block 8Sofia - 1113, BULGARIAe-mail: virginia@diogenes.bg Received: July 24, 2008