Abstract

We consider a general integral operator based on two types of analytic functions, namely, regular functions and, respectively, functions having a positive real part. Some univalence conditions for this integral operator are obtained.

Highlights

  • Let A be the class of functions of the form ∞fz z aizi, i2 which are analytic in the open unit disk, U {z ∈ C : |z| < 1} and normalized by f 0 f 0 − 1 0

  • We consider the regular function hn z z f1 u u α1

  • 1 2 the integral operator j1 is in the class S

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Summary

Univalence Conditions Related to a General Integral Operator

We consider a general integral operator based on two types of analytic functions, namely, regular functions and, respectively, functions having a positive real part. Some univalence conditions for this integral operator are obtained

Let A be the class of functions of the form
Abstract and Applied Analysis
Main Results
Re γ
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