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UNIVALENCE CRITERIA FOR SOME INTEGRAL OPERATORS

B.A. Frasin
장전수학회 (Jangjeon Mathematical Society)|2015.10|Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집) (Proceedings of the Jangjeon Mathematical Society)|제18권 제4호|pp. 467-472|DOI 10.17777/pjms.2015.18.4.004

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참고문헌

키워드

Analytic and univalent functionsunivalence conditionintegral operator
주제분류수학

초록

Let be an integral operator de…ned in the open unit disc U ={z : |z| < 1} where g and f are analytic functions in U and α, β, γ are complex numbers such that |α-1| < 1. The object of the present paper is to obtain some sufficient conditions for univalence of the integral operator Fα,γ,β(z). Our main results contain some interesting corollaries as special cases.

Abstract

Let be an integral operator de…ned in the open unit disc U ={z : |z| < 1} where g and f are analytic functions in U and α, β, γ are complex numbers such that |α-1| < 1. The object of the present paper is to obtain some sufficient conditions for univalence of the integral operator Fα,γ,β(z). Our main results contain some interesting corollaries as special cases.

참고문헌 (18)

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