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A new subclass of analytic functions defined by convolution

이상근|S. M. Khairnar
강원경기수학회 (The Kangweon-Kyungki Mathematical Society)|2011.12|한국수학논문집 (Korean Journal of Mathematics)|제19권 제4호|pp. 351-365

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키워드

Noor integral operatorstarlike functionsconvex functionssubordination propertyclosed convex hull
주제분류수학

초록

In the present paper we introduce a new subclass of analytic functions in the unit disc defined by convolution (f_μ)^(-1) * f(z), where f_μ = (1-μ)z _2F_1(a, b; c; z) + μz(z _2F_1(a, b; c; z))'. Several interesting properties of the class and integral preserving properties of the subclasses are also considered.

Abstract

In the present paper we introduce a new subclass of analytic functions in the unit disc defined by convolution (f_μ)^(-1) * f(z), where f_μ = (1-μ)z _2F_1(a, b; c; z) + μz(z _2F_1(a, b; c; z))'. Several interesting properties of the class and integral preserving properties of the subclasses are also considered.

참고문헌 (22)

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