Recurrence Relations of the Hypergeometric-type functions on the quadratic-type lattices
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 als...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
ATNAA
2019-10-01
|
| Series: | Advances in the Theory of Nonlinear Analysis and its Applications |
| Subjects: | |
| Online Access: | https://dergipark.org.tr/en/download/article-file/834377 |
| _version_ | 1797910942467489792 |
|---|---|
| author | Rezan Sevinik Adıgüzel |
| author_facet | Rezan Sevinik Adıgüzel |
| author_sort | Rezan Sevinik Adıgüzel |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-10T11:32:31Z |
| format | Article |
| id | doaj.art-dae3809bc8f34de9a964e6c363165c6b |
| institution | Directory Open Access Journal |
| issn | 2587-2648 2587-2648 |
| language | English |
| last_indexed | 2024-04-10T11:32:31Z |
| publishDate | 2019-10-01 |
| publisher | ATNAA |
| record_format | Article |
| series | Advances in the Theory of Nonlinear Analysis and its Applications |
| spelling | doaj.art-dae3809bc8f34de9a964e6c363165c6b2023-02-15T16:18:04ZengATNAAAdvances in the Theory of Nonlinear Analysis and its Applications2587-26482587-26482019-10-013420121910.31197/atnaa.629707Recurrence Relations of the Hypergeometric-type functions on the quadratic-type latticesRezan Sevinik Adıgüzel0Department of Mathematics, Atilim University, Ankara, 06586 Turkey.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.https://dergipark.org.tr/en/download/article-file/834377hypergeometric 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. |
| spellingShingle | Rezan Sevinik Adıgüzel Recurrence Relations of the Hypergeometric-type functions on the quadratic-type lattices Advances in the Theory of Nonlinear Analysis and its Applications 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. |
| title | Recurrence Relations of the Hypergeometric-type functions on the quadratic-type lattices |
| title_full | Recurrence Relations of the Hypergeometric-type functions on the quadratic-type lattices |
| title_fullStr | Recurrence Relations of the Hypergeometric-type functions on the quadratic-type lattices |
| title_full_unstemmed | Recurrence Relations of the Hypergeometric-type functions on the quadratic-type lattices |
| title_short | Recurrence Relations of the Hypergeometric-type functions on the quadratic-type lattices |
| title_sort | recurrence relations of the hypergeometric type functions on the quadratic type lattices |
| topic | 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. |
| url | https://dergipark.org.tr/en/download/article-file/834377 |
| work_keys_str_mv | AT rezansevinikadıguzel recurrencerelationsofthehypergeometrictypefunctionsonthequadratictypelattices |