Recurrence Relations of the Hypergeometric-type functions on the quadratic-type lattices

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Original research article

Author(s):

Rezan Sevinik Adıgüzel

Department of Mathematics, Atılım University, Ankara, 06830, Turkey

Advances in the Theory of Nonlinear Analysis and its Applications 3(4), 201-219.

Received: October 8, 2019

Accepted: October 18, 2019

Published: October 21, 2019

Abstract

The central idea of this article is to present a systematic approach for constructing recurrence relations for the solutions of the second-order linear difference equation of hypergeometric-type defined on quadratic-type lattices. We introduce recurrence relations for such solutions and explore their applications to polynomials on quadratic-type lattices.

Keywords: Hypergeometric function on q-quadratic lattices, second-order linear difference equation of hypergeometric-type, recurrence relations, q-Racah polynomials, dual Hahn polynomials, TTRR.

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APA Style

Adıgüzel, R. S. (2014). Recurrence Relations of the Hypergeometric-type functions on the quadratic-type lattices. Advances in the Theory of Nonlinear Analysis and its Application, 3(4), 201-219.