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A remarkably large number of integral formulas involving a variety of special functions have been developed by many authors. Also many integral formulas involving various Bessel functions have been pre- sented. Very recently, Choi and Agarwal derived two generalized integral formulas associated with the Bessel function J (z) of the first kind, which are expressed in terms of the generalized (Wright) hypergeometric func- tions. In the present sequel to Choi and Agarwal’s work, here, in this paper, we establish two new integral formulas involving the generalized Bessel functions, which are also expressed in terms of the generalized (Wright) hypergeometric functions. Some interesting special cases of our two main results are presented. We also point out that the results pre- sented here, being of general character, are easily reducible to yield many diverse new and known integral formulas involving simpler functions.
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참고문헌 (16)
참고문헌 신청
A. Baricz / 2006 / Geometric properties of generalized Bessel functions of complex order / Math-ematica 48 (71) : 13 ~ 18
A. Baricz / 2008 / Geometric properties of generalized Bessel functions / Publ. Math. Debrecen 73 (1-2) : 155 ~ 178
A. Baricz / 2008 / Jordan-type inequalities for generalized Bessel functions / J. Inequal. Pure Appl. Math 9 (2,) : 6 ~
A. Baricz / 2010 / Generalized Bessel Functions of the First Kind / Springer-Verlag
C. Fox / 1928 / The asymptotic expansion of generalized hypergeometric functions / Proc. London Math. Soc. (2) 27 : 389 ~ 400
A. Baricz / 2008 / Geometric properties of generalized Bessel functions / Publ. Math. Debrecen 73 (1-2) : 155 ~ 178
A. Baricz / 2008 / Jordan-type inequalities for generalized Bessel functions / J. Inequal. Pure Appl. Math 9 (2,) : 6 ~
A. Baricz / 2010 / Generalized Bessel Functions of the First Kind / Springer-Verlag
C. Fox / 1928 / The asymptotic expansion of generalized hypergeometric functions / Proc. London Math. Soc. (2) 27 : 389 ~ 400
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