Starlike Functions Associated with Secant Hyperbolic Function

Khadija Bano; Mohsan Raza; Qin Xin; Fairouz Tchier; Sarfraz Nawaz Malik

doi:10.3390/sym15030737

Starlike Functions Associated with Secant Hyperbolic Function

Khadija Bano, Mohsan Raza, Qin Xin, Fairouz Tchier, Sarfraz Nawaz Malik

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

4 Citations (Scopus)

Abstract

Motivated by the recent work on the symmetric domains, this article investigates certain
features of symmetric domain which are caused by the secant hyperbolic functions. Geometric
characteristics of analytic functions associated with secant hyperbolic functions are discussed, which
include the inclusion results, structural formula, certain sharp radii results such as radius of starlikeness and convexity of order α. It also finds a radius for ratios of analytic functions associated with Euler numbers.

Original language	English
Article number	737
Number of pages	21
Journal	Symmetry
Volume	15
Issue number	3
DOIs	https://doi.org/10.3390/sym15030737
Publication status	Published - 16 Mar 2023

Keywords

analytic functions
subordination
starlike functions
Euler functions
radii problems

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10.3390/sym15030737Licence: CC BY

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title = "Starlike Functions Associated with Secant Hyperbolic Function",

abstract = "Motivated by the recent work on the symmetric domains, this article investigates certainfeatures of symmetric domain which are caused by the secant hyperbolic functions. Geometriccharacteristics of analytic functions associated with secant hyperbolic functions are discussed, whichinclude the inclusion results, structural formula, certain sharp radii results such as radius of starlikeness and convexity of order α. It also finds a radius for ratios of analytic functions associated with Euler numbers.",

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author = "Khadija Bano and Mohsan Raza and Qin Xin and Fairouz Tchier and Malik, {Sarfraz Nawaz}",

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T1 - Starlike Functions Associated with Secant Hyperbolic Function

AU - Bano, Khadija

AU - Raza, Mohsan

AU - Xin, Qin

AU - Tchier, Fairouz

AU - Malik, Sarfraz Nawaz

PY - 2023/3/16

Y1 - 2023/3/16

N2 - Motivated by the recent work on the symmetric domains, this article investigates certainfeatures of symmetric domain which are caused by the secant hyperbolic functions. Geometriccharacteristics of analytic functions associated with secant hyperbolic functions are discussed, whichinclude the inclusion results, structural formula, certain sharp radii results such as radius of starlikeness and convexity of order α. It also finds a radius for ratios of analytic functions associated with Euler numbers.

AB - Motivated by the recent work on the symmetric domains, this article investigates certainfeatures of symmetric domain which are caused by the secant hyperbolic functions. Geometriccharacteristics of analytic functions associated with secant hyperbolic functions are discussed, whichinclude the inclusion results, structural formula, certain sharp radii results such as radius of starlikeness and convexity of order α. It also finds a radius for ratios of analytic functions associated with Euler numbers.

KW - analytic functions

KW - subordination

KW - starlike functions

KW - Euler functions

KW - radii problems

UR - https://doi.org/10.3390/sym15030737

U2 - 10.3390/sym15030737

DO - 10.3390/sym15030737

M3 - Article

SN - 2073-8994

VL - 15

JO - Symmetry

JF - Symmetry

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ER -

Starlike Functions Associated with Secant Hyperbolic Function

Abstract

Keywords

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