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Dual and triple equations and q-orthogonal polynomials
Authors:O A Ashour  M E H Ismail
Institution:1. Faculty of Science, Mathematics Department, Cairo University, Giza, Egypt.;2. Mathematics Department, University of Central Florida, Orlando, FL, USA.
Abstract:In this paper, we solve dual and triple sequences involving q-orthogonal polynomials. We also introduce and solve a system of dual series equations when the kernel is the q-Laguerre polynomials. Examples are included.
Keywords:q-orthogonal polynomials  q-series equations  q-Fourier transform  q-integral operator  q-special functions  q-dual and q-triple sequence equations
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