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A CLASS OF ANALYTIC UNIVALENT FUNCTIONS WITH NEGATIVE COEFFICIENTS
Author(s): 
Pages: 11-22
Year: Issue:  3
Journal: Transactions of Beijing Institute of Technology

Keyword:  univalent functionnegative coefficientsdistortion theoremconvolution theoremstarlikeness radiusconvexity radius.;
Abstract: Let T(q) be the subclass of S with negative coefficients and the degree of the second term of expansion is q+ 1.Its subclasses of order a starlike functions, of order a convex functions, and of functions f(z) satisfied Ref’(z)>0 are denoted by T*(α,q), K*(α,q)and P*(α,q)respectiveiy.Let G be the class of functionswhere λi∈[0,l]are constants, λ1+λ2+λ3=1, f∈T(q) satisfies the conditionThe purpose of this paper is to study the properties of G and the relations between G and T* (α,q) ,K*(α,q), P*(α,q).Some results in works of P.K.Jain, O.P.Ahuja and S.S. Bhoosnurmath are extended.
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