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On the generalised Ruscheweyh class of analytic functions of complex order
Published online by Cambridge University Press: 17 April 2009
Abstract
The main object of this paper is to identify various classes of analytic functions which are starlike, convex, pre-starlike, Ruscheweyh class of order α, β-spiral-like, β-convex-spiral-like, starlike of complex order, complex of complex order, and others as special cases of a family of analytic functions of complex order in the unit disk. This makes a uniform treatment possible. Finally, we derive sharp estimates for all coefficients of the functions from the family.
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- Copyright © Australian Mathematical Society 1993
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