On an Integral Transform of a Class of Analytic Functions

Sarika Verma, Sushma Gupta and Sukhjit Singh

Abstract and Applied Analysis, 2012, vol. 2012, 1-10

Abstract:

For and , let denote the class of all normalized analytic functions in the open unit disc such that , for some . It is known (Noshiro (1934) and Warschawski (1935)) that functions in are close-to-convex and hence univalent for . For , we consider the integral transform , where is a nonnegative real-valued integrable function satisfying the condition . The aim of present paper is, for given , to find sharp values of such that (i) whenever and (ii) whenever .

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:259054

DOI: 10.1155/2012/259054

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