Sevinik Adıgüzel, RezanAdıgüzel,R.S.Mathematics2024-07-052024-07-05201902587-264810.31197/atnaa.6297072-s2.0-85078667057https://doi.org/10.31197/atnaa.629707https://hdl.handle.net/20.500.14411/3944The 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.eninfo:eu-repo/semantics/openAccessHypergeometric function on q-quadratic latticesRecurrence relations q-Racah polynomials dual Hahn polynomialsSecond-order linear difference equation of hypergeometric-type on the q-quadratic latticesTTRRArticleQ234201219