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- Title
Relationship between q-Weyl operator and basic analogue of I-function in preview of q-Laplace transform.
- Authors
Jain, D. K.; Jain, Renu; Ahmad, Farooq
- 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.
- Subjects
WEYL theory of boundary value problems; LAPLACE transformation; FRACTIONAL calculus; POLYNOMIALS; MATHEMATICAL functions
- Publication
Journal of Ramanujan Society of Mathematics & Mathematical Sciences, 2012, Vol 1, Issue 2, p27
- ISSN
2319-1023
- Publication type
Article