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

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

Authors

  • Rezan SEVİNİK ADIGÜZEL*

Keywords:

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

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 quadratictype lattices. We introduce some recurrence relations for such solutions by also considering their applications to polynomials on the quadratic-type lattices.

 

References

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Published

2019-12-31

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How to Cite

Recurrence Relations of the Hypergeometric-type functions on the quadratic-type lattices. (2019). Advances in the Theory of Nonlinear Analysis and Its Application, 3(4), 201-219. https://mail.atnaea.org/index.php/journal/article/view/109