Some characterizations of univalent, starlike and convex hypergeometric functions

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dc.contributor.authorSrivastava, H.M.
dc.contributor.authorOwa, Shigeyoshi
dc.date.accessioned2010-05-26T18:10:15Z
dc.date.available2010-05-26T18:10:15Z
dc.date.copyright1985en
dc.date.issued2010-05-26T18:10:15Z
dc.description.abstractE.P. Merkes and W.T. Scott [Proc. Amer. Math. Soc. 12(1961), 885-888] proved an interesting result characterizing starlike hypergeometric functions. More recently, B.C. Carlson and D.B. Shaffer [SIAM J. Math. Anal. 15(1984), 737-745] introduced a linear operator and demonstrated how this operator can be applied systematically to the study of various interesting classes of starlike, convex, and prestarlike hypergeometric functions. The object of the present paper is to establish several characterization theorems involving univalent, starlike, and convex hypergeometric functions in the unit disk. Various inequalities involving hypergeometric series are also proved.en
dc.identifier.urihttp://hdl.handle.net/1828/2807
dc.language.isoenen
dc.relation.ispartofseriesDM-340-IRen
dc.titleSome characterizations of univalent, starlike and convex hypergeometric functionsen
dc.typeTechnical Reporten

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