A certain subclass of analytic functions associated with operators of fractional calculus

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dc.contributor.authorRaina, R.K.
dc.contributor.authorSrivastava, H.M.
dc.date.accessioned2010-01-08T22:17:11Z
dc.date.available2010-01-08T22:17:11Z
dc.date.copyright1996en
dc.date.issued2010-01-08T22:17:11Z
dc.description.abstractIn the present paper we introduce a new class of functions, defined by using certain fractional calculus operators, which are analytic in the open unit disk. A necessary and sufficient condition for a function to belong to such a class is obtained. The various other results presented here include the radii of close-to-convexity, starlikeness, and convexity, and some distortion theorems involving fractional integrals and fractional derivatives. Several special cases of our results are also pointed out.en
dc.description.sponsorshipDepartment of Science & Technology (Government of India) under Grant No. DST/MS/PM-001/93. The present investigation was supported, in part, by NSERC Grant OGP0007353.en
dc.identifier.urihttp://hdl.handle.net/1828/2061
dc.language.isoenen
dc.relation.ispartofseriesDMS-732-IRen
dc.subjectanalytic functionsen
dc.subjectfractional calculusen
dc.subjectRiemann-Liouville operatorsen
dc.subjectErdelyi-Kober operatorsen
dc.subjectGauss's hypergeometric functionen
dc.subjectunivalent functionsen
dc.subjectclose-to-convex functionsen
dc.subjectstarlike functionsen
dc.subjectconvex functionsen
dc.titleA certain subclass of analytic functions associated with operators of fractional calculusen
dc.typeTechnical Reporten

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