Integral Representations and Coefficient Estimates for a Subclass of Meromorphic Starlike Functions

Yong Sun; Yue Ping Jiang; Antti Rasila; H. M. Srivastava

doi:10.1007/s11785-016-0531-x

Integral Representations and Coefficient Estimates for a Subclass of Meromorphic Starlike Functions

Yong Sun, Yue Ping Jiang, Antti Rasila^*, H. M. Srivastava

^*Corresponding author for this work

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

12 Scopus citations

Abstract

In this paper, we introduce a natural subclass of meromorphic starlike functions in the open unit disk. Results concerning subordination properties, integral representations, properties of convolutions, inclusion relationship and coefficient inequalities for the functions of this class are derived. Furthermore, we solve radius problems for certain related classes of meromorphic strongly starlike functions and meromorphic parabolic starlike functions.

Original language	English
Pages (from-to)	1-19
Number of pages	19
Journal	Complex Analysis and Operator Theory
Volume	11
Issue number	1
DOIs	https://doi.org/10.1007/s11785-016-0531-x
State	Published - 1 Jan 2017
Externally published	Yes

Keywords

Analytic functions
Maximum modulus principle
Meromorphic parabolic starlike functions
Meromorphic starlike functions
Meromorphic strongly starlike functions
Principle of differential subordination
Starlike functions
Univalent functions

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abstract = "In this paper, we introduce a natural subclass of meromorphic starlike functions in the open unit disk. Results concerning subordination properties, integral representations, properties of convolutions, inclusion relationship and coefficient inequalities for the functions of this class are derived. Furthermore, we solve radius problems for certain related classes of meromorphic strongly starlike functions and meromorphic parabolic starlike functions.",

keywords = "Analytic functions, Maximum modulus principle, Meromorphic parabolic starlike functions, Meromorphic starlike functions, Meromorphic strongly starlike functions, Principle of differential subordination, Starlike functions, Univalent functions",

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AU - Rasila, Antti

AU - Srivastava, H. M.

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N2 - In this paper, we introduce a natural subclass of meromorphic starlike functions in the open unit disk. Results concerning subordination properties, integral representations, properties of convolutions, inclusion relationship and coefficient inequalities for the functions of this class are derived. Furthermore, we solve radius problems for certain related classes of meromorphic strongly starlike functions and meromorphic parabolic starlike functions.

AB - In this paper, we introduce a natural subclass of meromorphic starlike functions in the open unit disk. Results concerning subordination properties, integral representations, properties of convolutions, inclusion relationship and coefficient inequalities for the functions of this class are derived. Furthermore, we solve radius problems for certain related classes of meromorphic strongly starlike functions and meromorphic parabolic starlike functions.

KW - Analytic functions

KW - Maximum modulus principle

KW - Meromorphic parabolic starlike functions

KW - Meromorphic starlike functions

KW - Meromorphic strongly starlike functions

KW - Principle of differential subordination

KW - Starlike functions

KW - Univalent functions

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JO - Complex Analysis and Operator Theory

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ER -

Integral Representations and Coefficient Estimates for a Subclass of Meromorphic Starlike Functions

Abstract

Keywords

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