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On a Class of Spirallike Functions associated with a FractionalCalculus Operator

Kuppathai Appasamy Selvakumaran|Geetha Balachandar|Pugazhenthi Rajaguru
경북대학교 자연과학대학 수학과|2015.12|Kyungpook Mathematical Journal|제55권 제4호|pp. 953-967

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참고문헌

키워드

Analytic functionsSubordinationFekete-Szego problemα-spirallike functions of order βFractional differential operator
주제분류수학

초록

In this article, by making use of a linear multiplier fractional differential operator D{δ,m}{λ}, we introduce a new subclass of spiral-like functions. The main object is to provide some subordination results for functions in this class. We also find sufficient conditions for a function to be in the class and derive Fekete-Szego inequalities.

Abstract

In this article, by making use of a linear multiplier fractional differential operator D{δ,m}{λ}, we introduce a new subclass of spiral-like functions. The main object is to provide some subordination results for functions in this class. We also find sufficient conditions for a function to be in the class and derive Fekete-Szego inequalities.

참고문헌 (24)

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