Integral means of certain class of analytic functions

Gao Chunyi

International Journal of Mathematics and Mathematical Sciences, 1993, vol. 16, 1-6

Abstract:

In this paper we discuss the following class of functions S λ ( α , β ) = { f ( z ) : | f ( z ) g ( z ) − 1 | < β | λ f ( z ) g ( z ) + 1 | , z ∈ D } where 0 ≤ λ ≤ 1 , 0 < β ≤ 1 , 0 ≤ α < 1 , and f ( z ) = z + ∑ n = 2 ∞ a n z n is analytic in D = { z : | z | < 1 } , g ( z ) is a starlike function of order α . A subordination about this class is obtained, the integral means of functions in S λ ( α , β ) and some extremal properties are studied.

Date: 1993
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:758393

DOI: 10.1155/S0161171293000572

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