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Successive coefficients for spirallike and related functions
Date Issued
01-10-2019
Author(s)
Abstract
We consider the family of all analytic and univalent functions in the unit disk of the form f(z) = z+ a2z2+ a3z3+ ⋯. Our objective in this paper is to estimate the difference of the moduli of successive coefficients, that is | | an+1| - | an| | , for f belonging to the family of γ-spirallike functions of order α. Our particular results include the case of starlike and convex functions of order α and other related class of functions.
Volume
113