On the Orthogonality of q-Classical Polynomials of the Hahn Class

Autor: Renato Álvarez-Nodarse, Rezan Sevinik Adıgüzel, Hasan Taşeli

Publikováno v: Symmetry, Integrability and Geometry: Methods and Applications, Vol 8, p 042 (2012)

The central idea behind this review article is to discuss in a unified sense the orthogonality of all possible polynomial solutions of the q-hypergeometric difference equation on a q-linear lattice by means of a qualitative analysis of the q-Pearson

Externí odkaz: https://doaj.org/article/10902a75379a45d5be8665b16fd23f10

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

Autor: Rezan Sevinik Adıgüzel

Publikováno v: Advances in the Theory of Nonlinear Analysis and its Applications, Vol 3, Iss 4, Pp 201-219 (2019)
Volume: 3, Issue: 4 201-219
Advances in the Theory of Nonlinear Analysis and its Application

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 quadratic-type lattices. We introduce s

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::04dc76bff2302ee4cb3b2e69ff564daf
https://dergipark.org.tr/en/download/article-file/834377

On the Orthogonality of the q-Derivatives of the Discrete q-Hermite I Polynomials

Autor: Rezan Sevinik Adıgüzel, Mehmet Turan, Sakina Alwhishi

Discrete q-Hermite I polynomials are a member of the q-polynomials of the Hahn class. They are the polynomial solutions of a second order difference equation of hypergeometric type. These polynomials are one of the q-analogous of the Hermite polynomi

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::dc9ec97f42ccdba3747c092bade31745
https://doi.org/10.4018/978-1-7998-0134-4.ch007

On the Orthogonality of q-Classical Polynomials of the Hahn Class

Autor: Rezan Sevinik Adıgüzel, Renato Alvarez-Nodarse, Hasan Taşeli

Publikováno v: Symmetry, Integrability and Geometry: Methods and Applications, Vol 8, p 042 (2012)
idUS. Depósito de Investigación de la Universidad de Sevilla
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The central idea behind this review article is to discuss in a unified sense the orthogonality of all possible polynomial solutions of the q-hypergeometric dif ference equation on a q-linear lattice by means of a qualitative analysis of the q-Pearson

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::81501789ec8b15bf6bc4197bdc8cfbc1
https://doaj.org/article/10902a75379a45d5be8665b16fd23f10