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On the generalised Ruscheweyh class of analytic functions of complex order

Published online by Cambridge University Press:  17 April 2009

O.P. Ahuja
O.P. Ahuja
Affiliation:
Department of Mathematics, The University of Papua, New Guinea Box 320, University Post Office Papua, New Guinea
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Abstract

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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.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 47 , Issue 2 , April 1993 , pp. 247 - 257
Copyright
Copyright © Australian Mathematical Society 1993

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