Degenerate Pochhammer symbol, degenerate Sumudu transform, and degenerate hypergeometric function with applications

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dc.authoridYagci, Oguz/0000-0001-9902-8094
dc.contributor.authorYagci, Oguz
dc.contributor.authorSahin, Recep
dc.date.accessioned2025-01-21T16:34:32Z
dc.date.available2025-01-21T16:34:32Z
dc.date.issued2021
dc.departmentKırıkkale Üniversitesi
dc.description.abstractIn the paper, we first define a degenerate Pochhammer symbol by using the degenerate gamma function and investigate its properties. By using the degenerate Pochhammer symbol, we introduce and investigate a degenerate hypergeometric function. We also define a degenerate Sumudu transform and investigate its properties by using degenerate exponential function. Finally, we give certain the integral representations, derivative formulas, integral transforms, factional calculus applications, and generating functions of the degenerate hypergeometric function.
dc.identifier.doi10.15672/hujms.738030
dc.identifier.endpage1465
dc.identifier.issn2651-477X
dc.identifier.issue5
dc.identifier.scopus2-s2.0-85126290350
dc.identifier.scopusqualityQ2
dc.identifier.startpage1448
dc.identifier.trdizinid495066
dc.identifier.urihttps://doi.org/10.15672/hujms.738030
dc.identifier.urihttps://search.trdizin.gov.tr/tr/yayin/detay495066
dc.identifier.urihttps://hdl.handle.net/20.500.12587/23982
dc.identifier.volume50
dc.identifier.wosWOS:000709871600016
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.indekslendigikaynakTR-Dizin
dc.language.isoen
dc.publisherHacettepe Univ, Fac Sci
dc.relation.ispartofHacettepe Journal of Mathematics and Statistics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241229
dc.subjectdegenerate Pochhammer symbol; degenerate Sumudu transform; degenerate; hypergeometric function; gamma function; degenerate gamma function; beta function; generalized hypergeometric function; Laplace transform; degenerate Laplace transform; Stieltjes transform; Laguerre transform; generating function; fractional calculus operator
dc.titleDegenerate Pochhammer symbol, degenerate Sumudu transform, and degenerate hypergeometric function with applications
dc.typeArticle

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