ACTA UNIVERSITATIS APULENSIS No 16/2008 SOME PROPERTIES INVOLVING QUASI-CONVOLUTION PRODUCTS CONCERNING SOME SPECIAL CLASSES OF UNIVALENT FUNCTIONS
نویسنده
چکیده
In this paper we give some sample properties involving quasiconvolution products of functions with negative coefficients. 2000 Mathematics Subject Classification: 30C45
منابع مشابه
ACTA UNIVERSITATIS APULENSIS No 20/2009 ON CERTAIN SUBCLASSES OF ANALYTIC AND UNIVALENT FUNCTIONS INVOLVING CONVOLUTION OPERATORS
Let A(ω) denote the class of functions of the form f(z) = (z−ω)+ a2(z−ω)+ ... normalized by f(ω) = 0 and f ′(ω)− 1 = 0 and which are anal;ytic in the unit disk E = {z : |z| < 1}. We define operators Lω,n : A(ω) → A(ω) using the convolution ∗ and we use this operators to define and study a refinement by way of new generalization of some subclasses of analytic and univalent functions and properti...
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Abstract. The author here wish to further study the new concept of analytic and univalent functions normalized with f(ω) and f ′(ω) − 1 = 0 introduced by Kanas and Ronning in 1999 which was later also investigated in 2005 by Acu and Owa. The author in this paper obtain coefficient estimates, distortion theorems, convex linear combinations, and radii of ω-closeto-convex, ω − starlikeness and ω −...
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