Generating q-Analogue of I-Function Satisfying Truesdell's Ascending Fq-Equation
Altaf Ahmad Bhat, Renu Jain, Deepak Kumar Jain · Asian Journal of Mathematics & Statistics · 2017
Various forms of q-analogue of I-function satisfying Truesdellʼs descending F q -equation have been studied and various generating functions by the application of these various forms have been derived.The aim of this study was to produce q-analogue of I-function which fulfilling Truesdellʼs Ascending F q -equation.In this study, various forms of q-analogue of I-function satisfying Truesdellʼs ascending F q -equation have been obtained.Certain generating functions for q-analogue of I-function have been derived by using these forms.Further, some particular cases of these results in terms of q-analogue of H-and G-functions which appear to be new have also been obtained.