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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2004.1
- 수록면
- 481 - 493 (13page)
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In the present paper, we establish a general theorem exhibiting a relationship existing between the Laplace transform and the generalized Weyl fractional integral operator (FIO) of related functions. This theorem is very general in nature and involves a multidimensional series with essentially arbitrary sequence of complex numbers. By suitably assigning different values to these sequences, one can easily evaluate the generalized Weyl fractional integral operator of special functions of several variables. References of known results which follow as special cases of our theorem are also cited. We have obtained here as applications of the theorem, the generalized Weyl fractional integral of(Srivastava-Daoust) generalized Lauricella function which gives a number of results involving special functions of one or more variables merely by specializing the parameters. The results recently obtained by R. Jain and M. A. Pathan and S. P. Goyal and Ritu Goyal,etc. follow as special cases of our main findings.
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참고문헌 (8)
참고문헌 신청
/ 1969 / Certain generalized Neumann expansions associatedwith the Kampe de Feriet function 31 : 449 ~ 457
/ 1972 / A note on the convergence of Kampe de Ferietdouble hypergeometric series 53 : 151 ~ 157
/ 19751976 / Some expansion theorems and generating relationsfor the H-function of several complex variables I and II : 119 169 ~ 137 197
/ 1976 / Some bilateral generating functions for a class of generalized hypergeometric polynomials : 265 ~ 274
/ 2001 / On theorems involving Laplace transform and Weyl fractionalintegral operator : 51 ~ 56
/ 1972 / A note on the convergence of Kampe de Ferietdouble hypergeometric series 53 : 151 ~ 157
/ 19751976 / Some expansion theorems and generating relationsfor the H-function of several complex variables I and II : 119 169 ~ 137 197
/ 1976 / Some bilateral generating functions for a class of generalized hypergeometric polynomials : 265 ~ 274
/ 2001 / On theorems involving Laplace transform and Weyl fractionalintegral operator : 51 ~ 56
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