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q-difference equations for homogeneous q-difference operators and their applications
Authors:Sama Arjika
Affiliation:1. Department of Mathematics and Informatics, University of Agadez, Agadez, Niger rjksama2008@gmail.com"ORCIDhttps://orcid.org/0000-0001-6699-3525
Abstract:In this short paper, we show how to deduce several types of generating functions from Srivastava et al. [Appl. Set-Valued Anal. Optim. 1 (2019), 187–201] by the method of q-difference equations. Moreover, we build relations between transformation formulas and homogeneous q-difference equations.
Keywords:Basic (q-) hypergeometric series  q-difference equation  homogeneous q-difference operator  Cauchy polynomials  Hahn polynomials  generating functions
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