Recurrence relations of the hypergeometric-type functions on the quadratic-type lattices

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2019

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Erdal Karapinar

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Mathematics
(2000)
The Atılım University Department of Mathematics was founded in 2000 and it offers education in English. The Department offers students the opportunity to obtain a certificate in Mathematical Finance or Cryptography, aside from their undergraduate diploma. Our students may obtain a diploma secondary to their diploma in Mathematics with the Double-Major Program; as well as a certificate in their minor alongside their diploma in Mathematics through the Minor Program. Our graduates may pursue a career in academics at universities, as well as be hired in sectors such as finance, education, banking, and informatics. Our Department has been accredited by the evaluation and accreditation organization FEDEK for a duration of 5 years (until September 30th, 2025), the maximum FEDEK accreditation period achievable. Our Department is globally and nationally among the leading Mathematics departments with a program that suits international standards and a qualified academic staff; even more so for the last five years with our rankings in the field rankings of URAP, THE, USNEWS and WEBOFMETRIC.

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Abstract

The central idea of this article is to present a systematic approach to construct some recurrence relations for the solutions of the second-order linear difference equation of hypergeometric-type defined on the quadratic-type lattices. We introduce some recurrence relations for such solutions by also considering their applications to polynomials on the quadratic-type lattices. © 2019, Erdal Karapinar. All rights reserved.

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Keywords

Hypergeometric function on q-quadratic lattices, Recurrence relations q-Racah polynomials dual Hahn polynomials, Second-order linear difference equation of hypergeometric-type on the q-quadratic lattices, TTRR

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Advances in the Theory of Nonlinear Analysis and its Applications

Volume

3

Issue

4

Start Page

201

End Page

219

URI

https://doi.org/10.31197/atnaa.629707
 https://hdl.handle.net/20.500.14411/3944

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Scopus