Title of article
Certain Properties Associated with Generalized $M$-Series using Hadamard Product
Author/Authors
Sachan ، Dheerandra Shanker Department of Mathematics - St.Mary’s PG College , Kumar ، Dinesh Department of Applied Sciences - College of Agriculture-Jodhpur - Agriculture university Jodhpur , Nisar ، Kottakkaran Sooppy Department of Mathematics - College of d Science and Humanities in Alkharj - Prince Sattam Bin Abdulaziz University
From page
151
To page
171
Abstract
The generalized M-series is a hybrid function of gener-alized Mittag-Leffler function and generalized hypergeometric func-tion. The principal aim of this paper is to investigate certain prop-erties resembling those of the Mittag-Leffler and Hypergeometric functions including various differential and integral formulas asso-ciated with generalized M-series. Certain corollaries involving the generalized hypergeometric function are also discussed. Further, in view of Hadamard product of two analytic functions, we have represented our main findings in Hadamard product of two known functions.
Keywords
Generalized $M$-series , Beta function , Gamma function , Mittag-Leffler function , Hypergeometric Function , Hadamard product
Journal title
Sahand Communications in Mathematical Analysis
Journal title
Sahand Communications in Mathematical Analysis
Record number
2754333
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