q-difference equations for homogeneous q-difference operators and their applications |
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Authors: | Sama Arjika |
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Affiliation: | 1. Department of Mathematics and Informatics, University of Agadez, Agadez, Niger rjksama2008@gmail.comhttps://orcid.org/0000-0001-6699-3525 |
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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. |
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Keywords: | Basic (q-) hypergeometric series q-difference equation homogeneous q-difference operator Cauchy polynomials Hahn polynomials generating functions |
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