- Advances in the Theory of Nonlinear Analysis and its Application
- Vol: 3 Issue: 4
- 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 Sevinik Adigüzel
Pages : 201-219
Doi:10.31197/atnaa.629707
View : 3 | Download : 1
Publication Date : 2019-12-30
Article Type : Research
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.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