q-Analogue of Aleph-Function and Its Transformation Formulae with q-Derivative

Authors

Altaf Ahmad, School of Mathematics and Allied Sciences, Jiwaji University, Gwalior (M.P.), India.Follow
Renu Jain
D. K. Jain

Author Country (or Countries)

India.

Abstract

In the present paper, the authors have derived the alternative definition of q-analogue of Aleph-Function, introduced by Dutta et. al.[13], by using q-Gamma function, which is an q-extension of the generalized H-function and I-function earlier defined by Saxena [4] and some transformation formulae are also derived. The basic analogue for this function provides elegant generalizations of the various results given by Saxena in connection with q- calculus. Some special cases have also been discussed.

Suggested Reviewers

N/A

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/jsap/060312

Recommended Citation

Ahmad, Altaf; Jain, Renu; and K. Jain, D. (2017) "q-Analogue of Aleph-Function and Its Transformation Formulae with q-Derivative," Journal of Statistics Applications & Probability: Vol. 6: Iss. 3, Article 12.
DOI: http://dx.doi.org/10.18576/jsap/060312
Available at: https://digitalcommons.aaru.edu.jo/jsap/vol6/iss3/12