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Coefficient estimates for alpha-spiral functions

Published online by Cambridge University Press:  17 April 2009

B.L. Bhatia  and
S. Rajasekaran
B.L. Bhatia
Affiliation:
Department of Mathematics, Indian Institute of Technology Kanpur, IIT Post Office, Kanpur - 208016, U.P., India.
S. Rajasekaran
Affiliation:
Department of Mathematics, Indian Institute of Technology Kanpur, IIT Post Office, Kanpur - 208016, U.P., India.
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Abstract

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Let belong to the class of α-spiral functions of order ρ(|α| < π/2, 0 ≤ ρ < 1). In this paper, we determine sharp coefficient estimates for functions of the form f(z)t, where t is a positive integer. We also study the influence of the second coefficient on the other coefficients for such functions. The results obtained not only generalize the results of MacGregor, Boyd, Srivastava, Silverman and Silvia and others, but also give rise to new results.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 28 , Issue 3 , December 1983 , pp. 319 - 329
Copyright
Copyright © Australian Mathematical Society 1983

References

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