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.accessioned2023-04-20T08:04:12Z
dc.date.available2023-04-20T08:04:12Z
dc.date.issued2022
dc.departmentFakülteler, Fen Edebiyat Fakültesi, Matematik Bölümü
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].
dc.identifier.doi10.5831/HMJ.2022.44.1.135
dc.identifier.endpage145
dc.identifier.issn1225-293X
dc.identifier.issn2288-6176
dc.identifier.issue1en_US
dc.identifier.startpage135
dc.identifier.urihttps://doi.org/10.5831/HMJ.2022.44.1.135
dc.identifier.urihttps://hdl.handle.net/20.500.11776/11001
dc.identifier.volume44
dc.identifier.wosWOS:000779726500011
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.institutionauthorMert, Oya
dc.language.isoen
dc.publisherHonam Mathematical Soc
dc.relation.ispartofHonam Mathematical Journal
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectConvex Function
dc.subjectHypergeometric Function
dc.subjectStarlike Function
dc.subjectUniformly Convex Functions
dc.subjectUnivalent Function
dc.subjectUnivalent
dc.titleAN INVESTIGATION ON GEOMETRIC PROPERTIES OF ANALYTIC FUNCTIONS WITH POSITIVE AND NEGATIVE COEFFICIENTS EXPRESSED BY HYPERGEOMETRIC FUNCTIONS
dc.typeArticle

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