Jñānābha Special Issue (2018), 37-44
CERTAIN RESULTS OF (p, q)-ANALOGOUE OF I-FUNCTION WITH (p, q)-DERIVATIVE
By
Altaf Ahmad Bhat
School of Mathematics and Allied Sciences, Jiwaji University, Gwalior (M.P.), India.
altaf.u786@gmail.com
Renu Jain
School of Mathematics and Allied Sciences, Jiwaji University, Gwalior (M.P.), India.
renujain3@rediffmail.com
D.K. Jain
Department of Applied Mathematics, Madhav Institute of Technology and Science,
Gwalior (M.P.), India.
dk jain@yahoo.co.in
(Received : November 24, 2017 ; Revised in final form September 06, 2018)
Abstract
In this paper, the authors have derived the (p, q)-analogue of I-function by using the (p, q) generalization of the Gamma and Beta functions. Some particular cases of these results in terms of (p, q)-analogue of H-Function which appear to be new, and G-function, defined earlier by Swati et. al. has also been obtained.
Keywords and phrases: (p, q)-analogue of I-Function, (p, q)-analogue of G-Function, (p, q)-derivatives, (p, q)-Gamma function.
2010 Mathematics Subject Classification: 33D15, 33D25, 33D35