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FIXED COEFFICIENTS FOR CERTAIN SUBCLASS OF UNIVALENT FUNCTIONS WITH NEGATIVE COEFFICIENTS
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FIXED COEFFICIENTS FOR CERTAIN SUBCLASS OF UNIVALENT FUNCTIONS WITH NEGATIVE COEFFICIENTS

M. K. Aouf and A. A. Al-Dohiman
The Punjab University journal of mathematics, Vol.37, pp.129-147
01/01/2005

Abstract

Mathematics Physical Sciences Science & Technology
In this paper we consider the class T-c(n, lambda, alpha) consisting of analytic and univalent functions with negative coefficients and fixed second coefficient.The object of the present paper is to show coefficient estimates, convex linear combinations, some distortion theorems and radii of starlikeness and convexity for f(z) in the class T-c(n, lambda, alpha). The results are generalized to families with finitely many fixed coefficients.

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