drsatyaprakash.singh@rsmams.org
Back to rsmams.org About JRSMAMS For Authors Submit a Paper Contact Us
Research Article

Relationship between q-Weyl operator and basic analogue of I-function in preview of q-Laplace transform

D
D.K. Jain, 1Department of Applied Mathematics, Madhav Institute of Technology & Science, Gwalior- 474005 (M.P.), India
R
Renu Jain School of Mathematics and Allied Sciences, Jiwaji University, Gwalior- 474011 (M.P.), India
F
Farooq Ahmad School of Mathematics and Allied Sciences, Jiwaji University, Gwalior- 474011 (M.P.), India
Volume 1, Issue 2 Pages 27-32 December 30, 2012 256 downloads
Article overview

Abstract

The q-derivatives and q-integrals are part of so called quantum calculus [1]. In this paper, we investigate how such derivatives and integrals can be possible used in establishing a formula exhibiting relationship between basic analogue of q-Weyl operator and q-Laplace transform, which allows the straight forward derivation of some useful results involving Weyl operator and basic analogue of I-function in terms of q-gamma function [2]. Also some special cases has been discussed.

Keywords and Phrases

Weyl fractional q-integral operatorq-Laplace transformbasic analogue of I-function.

AMS Subject Classification

33D60, 33D90, and 26A33.

Reference information

How to Cite

D.K. Jain,, Renu Jain, Farooq Ahmad (2012). Relationship between q-Weyl operator and basic analogue of I-function in preview of q-Laplace transform. Journal of Ramanujan Society of Mathematics and Mathematical Sciences, 1(2), 27-32.
Back to this issue
Copied