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Coefficient estimates for alpha-spiral functions
Published online by Cambridge University Press: 17 April 2009
Abstract
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