Convolution properties of a new subclass of the class of close-to-convex functions

C. Ramesha; T. Mohandas

Convolution properties of a new subclass of the class of close-to-convex functions

C. Ramesha
, T. Mohandas^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we introduce and study the subordination and convolution properties of the class Jα, a subclass of the class Jα of close-to-convex functions. The coefficient bounds and the effect of certain integral operators on Jα. are discussed. It is derived that the class Jα is closed under convolution.

Original language	English
Pages (from-to)	243-254
Number of pages	12
Journal	Indian Journal of Mathematics
Volume	59
Issue number	2
Publication status	Published - 01-08-2017

All Science Journal Classification (ASJC) codes

General Mathematics

Cite this

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title = "Convolution properties of a new subclass of the class of close-to-convex functions",

abstract = "In this paper, we introduce and study the subordination and convolution properties of the class Jα, a subclass of the class Jα of close-to-convex functions. The coefficient bounds and the effect of certain integral operators on Jα. are discussed. It is derived that the class Jα is closed under convolution.",

author = "C. Ramesha and T. Mohandas",

note = "Publisher Copyright: {\textcopyright} 2017 Allahabad Mathematical Society.",

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N2 - In this paper, we introduce and study the subordination and convolution properties of the class Jα, a subclass of the class Jα of close-to-convex functions. The coefficient bounds and the effect of certain integral operators on Jα. are discussed. It is derived that the class Jα is closed under convolution.

AB - In this paper, we introduce and study the subordination and convolution properties of the class Jα, a subclass of the class Jα of close-to-convex functions. The coefficient bounds and the effect of certain integral operators on Jα. are discussed. It is derived that the class Jα is closed under convolution.

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M3 - Article

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JO - Indian Journal of Mathematics

JF - Indian Journal of Mathematics

IS - 2

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Convolution properties of a new subclass of the class of close-to-convex functions

Abstract

All Science Journal Classification (ASJC) codes

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