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

Yıl 2019, Cilt: 3 Sayı: 4, 201 - 219, 30.12.2019

Rezan Sevinik Adıgüzel

https://doi.org/10.31197/atnaa.629707

Öz

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.

Anahtar Kelimeler

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

Kaynakça

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