AN INVESTIGATION ON GEOMETRIC PROPERTIES OF ANALYTIC FUNCTIONS WITH POSITIVE AND NEGATIVE COEFFICIENTS EXPRESSED BY HYPERGEOMETRIC FUNCTIONS

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dc.contributor.authorAkyar, Alaattin
dc.contributor.authorMert, Oya
dc.contributor.authorYıldız, İsmet
dc.date.accessioned2023-07-26T11:57:39Z
dc.date.available2023-07-26T11:57:39Z
dc.date.issued2022
dc.departmentDÜ, Fen-Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractThis paper aims to investigate characterizations on parameters k(1), k(2), k(3), k(4), k(5), l(1), l(2), l(3), and l(4) to find relation between the class of H(k, l, m, n, o) hypergeometric functions defined by F-5(4) [(l1, l2, l3, l4) (k1, k2, k3, k4, k5,) : z] = Sigma(infinity)(n=2) (k(1))(n) (k(2))(n) (k(3))(n) (k(4))(n) (k(5))(n)/(l(1))(n) (l(2))(n) (l(3))(n) (l(4))(n) (1)(n) z(n). We need to find k, l, m and n that lead to the necessary and sufficient condition for the function zF([W]), G = z(2 - F ([W])) and H-1[W] =z(2) d/dz (ln(z) - h(z)) to be in S*(2(-r)), r is a positive integer in the open unit disc D = {z : vertical bar z vertical bar < 1, z is an element of C} with h(z) = Sigma(infinity)(n=0) (k)(n)(l)(n)(m)(n)(n)(n) (1 + k/2)(n)/(k/2)(n)(1 + k - l)(n) (1 + k - m)(n) (1 + k - n)(n)n(1)(n) z(n) and [W] = [(k/2, 1 + k -l, 1 + k - m, 1 + k - n) (k, 1 + k/2, l,) (m, n) :z].en_US
dc.identifier.doi10.5831/HMJ.2022.44.1.135
dc.identifier.endpage145en_US
dc.identifier.issn1225-293X
dc.identifier.issn2288-6176
dc.identifier.issue1en_US
dc.identifier.startpage135en_US
dc.identifier.urihttps://doi.org/10.5831/HMJ.2022.44.1.135
dc.identifier.urihttps://hdl.handle.net/20.500.12684/13257
dc.identifier.volume44en_US
dc.identifier.wosWOS:000779726500011en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.institutionauthorAkyar, Alaattin
dc.language.isoenen_US
dc.publisherHonam Mathematical Socen_US
dc.relation.ispartofHonam Mathematical Journalen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.snmz$2023V1Guncelleme$en_US
dc.subjectConvex Function; Hypergeometric Function; Starlike Function; Uniformly Convex Functions; Univalent Functionen_US
dc.subjectUnivalenten_US
dc.titleAN INVESTIGATION ON GEOMETRIC PROPERTIES OF ANALYTIC FUNCTIONS WITH POSITIVE AND NEGATIVE COEFFICIENTS EXPRESSED BY HYPERGEOMETRIC FUNCTIONSen_US
dc.typeArticleen_US

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