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• W2012102476 abstract "Abstract. A comprehensive class of starlike univalent functions de ned by Dziok-Srivastava operator is introduced. Necessary and sucient coecient bounds are givenfor functions in this class to be starlike. Further distortion bounds, extreme points andresults on partial sums are investigated. 1. IntroductionLet Adenote the class of functions of the form(1) f(z) = z+X 1n=2 a n z n which are analytic in the open unit disc U= fz: jzj<1g:Denote by Sthe subclassof Aconsisting functions normalized by f(0) = 0 = f 0 (0) 1 which are univalentin Uand STand CV the subclasses of Sthat are respectively, starlike and convex.Also denote by V;the class of analytic functions with varying arguments introducedby Silverman [13] consisting of functions fof the form (1) in Sfor which there existsa real number such that(2)  n + (n 1)= ˇ(mod2ˇ);where arg(a n ) =  n for all n 2:Goodman [4], [5] introduced and de ned the following subclasses of CV and ST:De nition 1. A function f(z) is uniformly convex (uniformly starlike) in Uif f(z)is in CV (ST) and has the property that for every circular arc contained in U;with center ˘also in U;the arc f() is convex (starlike) with respect to f(˘):The" @default.
• W2012102476 created "2016-06-24" @default.
• W2012102476 creator A5018795962 @default.
• W2012102476 creator A5076782742 @default.
• W2012102476 creator A5082259940 @default.
• W2012102476 date "2009-03-31" @default.
• W2012102476 modified "2023-09-23" @default.
• W2012102476 title "A Class of Starlike Functions Defined by the Dziok-Srivastava Operator" @default.
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• W2012102476 doi "https://doi.org/10.5666/kmj.2009.49.1.095" @default.
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