On an integral involving \={I}-function
1
조회
0
다운로드
0
인용
0
참고문헌
키워드
초록
In this paper, an interesting integral involving the \={I}-function of one variable introduced by Rathie has been derived. Since \={I}-function is a very generalized function of one variable and includes as special cases many of the known functions appearing in the literature, a number of integrals can be obtained by reducing the \={I} function of one variable to simpler special functions by suitably specializing the parameters. A few special cases of our main results are also discussed.
Abstract
In this paper, an interesting integral involving the \={I}-function of one variable introduced by Rathie has been derived. Since \={I}-function is a very generalized function of one variable and includes as special cases many of the known functions appearing in the literature, a number of integrals can be obtained by reducing the \={I} function of one variable to simpler special functions by suitably specializing the parameters. A few special cases of our main results are also discussed.
참고문헌 (4)
- B. L. J. Braaksma, "Asymptotic expansions and analytic continuations for a class of Barnes-integrals", Compositio Math, 15, pp.239~341 (1964)
- A. Erdelyi, "Higher Transcendental Functions" (1953), McGraw-Hill Book Company
- Charles Fox, "The G and H Functions as Symmetrical Fourier Kernels", Transactions of the American Mathematical Society, 98(3), pp.395~429 (1961), JSTOR[DOI]
- A. K. Rathie, "A new generalization of generalized hypergeometric functions", Matematiche (Catania), 52(2), pp.297~310 (1997)