NEW SUBCLASS OF ANALYTIC FUNCTIONS IN CONICAL DOMAIN ASSOCIATED WITH A LINEAR OPERATOR

doi:10.1016/S0252-9602(16)30033-9

Abstract

Abstract:

The main object of the present paper is to investigate a number of useful properties such as inclusion relations, distortion bounds, coefficient estimates, subordination results, the Fekete-Szegö problem and some other for a new subclass of analytic functions, which are defined here by means of linear operator. Relevant connections of the results presented here with those obtained in earlier works are also pointed out.

Key words: analytic functions, subordination, functions with positive real part, linear operators, conic domains

CLC Number:

30C45

Muhammed ARIF, Shahid MAHMOOD, Janusz SOKÓŁ, Jacek DZIOK. NEW SUBCLASS OF ANALYTIC FUNCTIONS IN CONICAL DOMAIN ASSOCIATED WITH A LINEAR OPERATOR[J].Acta mathematica scientia,Series B, 2016, 36(3): 704-716.

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