On a subclass of starlike functions associated with a vertical strip domain

Yong Sun; Zhi Gang Wang; Antti Rasila; Janusz Sokół

doi:10.1186/s13660-019-1988-8

On a subclass of starlike functions associated with a vertical strip domain

Yong Sun, Zhi Gang Wang^*, Antti Rasila, Janusz Sokół

^*Corresponding author for this work

Mathematics with Computer Science

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7 Scopus citations

Abstract

In this paper, we consider a subclass of starlike functions associated with a vertical strip domain. We obtain several results concerned with integral representations, convolutions, and coefficient inequalities for functions belonging to this class. Furthermore, we consider radius problems and inclusion relations involving certain classes of strongly starlike functions, parabolic starlike functions, and other types of starlike functions. The results are essential improvements of the corresponding results obtained by Kargar et al., and the derivations are similar to those used earlier by Sun et al. and Kwon et al.

Original language	English
Article number	35
Journal	Journal of Inequalities and Applications
Volume	2019
DOIs	https://doi.org/10.1186/s13660-019-1988-8
State	Published - 2019

Keywords

Analytic function
Differential subordination
Starlike function
Univalent function

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10.1186/s13660-019-1988-8

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AU - Wang, Zhi Gang

AU - Rasila, Antti

AU - Sokół, Janusz

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N2 - In this paper, we consider a subclass of starlike functions associated with a vertical strip domain. We obtain several results concerned with integral representations, convolutions, and coefficient inequalities for functions belonging to this class. Furthermore, we consider radius problems and inclusion relations involving certain classes of strongly starlike functions, parabolic starlike functions, and other types of starlike functions. The results are essential improvements of the corresponding results obtained by Kargar et al., and the derivations are similar to those used earlier by Sun et al. and Kwon et al.

AB - In this paper, we consider a subclass of starlike functions associated with a vertical strip domain. We obtain several results concerned with integral representations, convolutions, and coefficient inequalities for functions belonging to this class. Furthermore, we consider radius problems and inclusion relations involving certain classes of strongly starlike functions, parabolic starlike functions, and other types of starlike functions. The results are essential improvements of the corresponding results obtained by Kargar et al., and the derivations are similar to those used earlier by Sun et al. and Kwon et al.

KW - Analytic function

KW - Differential subordination

KW - Starlike function

KW - Univalent function

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VL - 2019

JO - Journal of Inequalities and Applications

JF - Journal of Inequalities and Applications

M1 - 35

ER -

On a subclass of starlike functions associated with a vertical strip domain

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Keywords

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