In the present paper, the authors have derived the alternative deﬁnition of q-analogue of Aleph-Function, introduced by Dutta et. al., by using q-Gamma function, which is an q-extension of the generalized H-function and I-function earlier deﬁned by Saxena  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.
Digital Object Identifier (DOI)
Ahmad, Altaf; Jain, Renu; and K. Jain, D.
"q-Analogue of Aleph-Function and Its Transformation Formulae with q-Derivative,"
Journal of Statistics Applications & Probability: Vol. 6:
3, Article 12.
Available at: https://digitalcommons.aaru.edu.jo/jsap/vol6/iss3/12