A certain subclass of analytic functions involving operators of fractional calculus

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dc.contributor.authorChen, MP
dc.contributor.authorIrmak, H
dc.contributor.authorSrivastava, HM
dc.date.accessioned2020-06-25T17:34:37Z
dc.date.available2020-06-25T17:34:37Z
dc.date.issued1998
dc.departmentKırıkkale Üniversitesi
dc.descriptionSrivastava, Hari M./0000-0002-9277-8092; Srivastava, Hari M./0000-0002-9277-8092
dc.description.abstractMaking use of certain operators of fractional calculus, we introduce a new class T-mu(n,lambda,alpha) of functions which are analytic and univalent in the open unit disk U and obtain a necessary and sufficient condition for a function to be in the class T-mu(n,lambda,alpha). The various other results presented here for the class T-mu(n,lambda,alpha) include the radii of close-to-convexity, starlikeness, and convexity, end some growth and distortion theorems involving fractional integrals and fractional derivatives. Some interesting consequences and possible further generalizations of these results are also pointed out.en_US
dc.identifier.citationclosedAccessen_US
dc.identifier.doi10.1016/S0898-1221(98)00007-8
dc.identifier.endpage91en_US
dc.identifier.issn0898-1221
dc.identifier.issue5en_US
dc.identifier.scopus2-s2.0-0032021031
dc.identifier.scopusqualityQ1
dc.identifier.startpage83en_US
dc.identifier.urihttps://doi.org/10.1016/S0898-1221(98)00007-8
dc.identifier.urihttps://hdl.handle.net/20.500.12587/2805
dc.identifier.volume35en_US
dc.identifier.wosWOS:000072389800007
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherPergamon-Elsevier Science Ltden_US
dc.relation.ispartofComputers & Mathematics With Applications
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectanalytic functionsen_US
dc.subjectunivalent functionsen_US
dc.subjectfractional calculus (fractional integral and fractional derivative)en_US
dc.subjectclose-to-convex functionsen_US
dc.subjectstarlike functionsen_US
dc.subjectconvex functionsen_US
dc.subjectmaximum modulus theoremen_US
dc.subjectgrowth and distortion theoremsen_US
dc.subjectGauss hypergeometric functionen_US
dc.titleA certain subclass of analytic functions involving operators of fractional calculusen_US
dc.typeArticle

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