Subordination by convex functions

Rosihan M. Ali, V. Ravichandran and N. Seenivasagan

International Journal of Mathematics and Mathematical Sciences, 2006, vol. 2006, 1-6

Abstract:

For a fixed analytic function g ( z ) = z + ∑ n = 2 ∞ g n z n defined on the open unit disk and γ < 1 , let T g ( γ ) denote the class of all analytic functions f ( z ) = z + ∑ n = 2 ∞ a n z n satisfying ∑ n = 2 ∞ | a n g n | ≤ 1 − γ . For functions in T g ( γ ) , a subordination result is derived involving the convolution with a normalized convex function. Our result includes as special cases several earlier works.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:062548

DOI: 10.1155/IJMMS/2006/62548

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