Some $k$-Horn hypergeometric functions and their properties

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dc.contributor.authorÇatak, Caner
dc.contributor.authorŞahin, Recep
dc.contributor.authorOlgun, Ali
dc.contributor.authorYağcı, Oğuz
dc.date.accessioned2025-01-21T16:11:14Z
dc.date.available2025-01-21T16:11:14Z
dc.date.issued2023
dc.departmentKırıkkale Üniversitesi
dc.description.abstractIn the theory of special functions, the $k$-Pochhammer symbol is a generalization of the Pochhammer symbol. With the help of the $k$-Pochhammer symbol, we introduce and study a new generalization of the $k$-Horn hypergeometric functions such as, ${G}_{1}^{k}$, ${G}_{2}^{k}$ and ${G}_{3}^{k}$. Furthermore, several investigations have been carried out for some important recursion formulae for several one variable and two variables $k$-hypergeometric functions. In the light of these studies, we introduce some important recursion formulae for several newly generalized $k$-Horn hypergeometric functions. Finally, we present several relations between some $k$-Horn hypergeometric functions ${G}_{1}^{k}$, ${G}_{2}^{k}$ and ${G}_{3}^{k}$, and $k$-Gauss hypergeometric functions $_{2}{F}_{1}^{k}$.
dc.identifier.doi10.54187/jnrs.1335407
dc.identifier.endpage107
dc.identifier.issn1304-7981
dc.identifier.issue2
dc.identifier.startpage97
dc.identifier.trdizinid1195803
dc.identifier.urihttps://doi.org/10.54187/jnrs.1335407
dc.identifier.urihttps://search.trdizin.gov.tr/tr/yayin/detay/1195803
dc.identifier.urihttps://hdl.handle.net/20.500.12587/21418
dc.identifier.volume12
dc.indekslendigikaynakTR-Dizin
dc.language.isoen
dc.relation.ispartofJournal of New Results in Science
dc.relation.publicationcategoryMakale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241229
dc.subjectMatematik
dc.titleSome $k$-Horn hypergeometric functions and their properties
dc.typeArticle

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