Starlike Functions Associated with Secant Hyperbolic Function

Author:

Bano Khadija1,Raza Mohsan1ORCID,Xin Qin2ORCID,Tchier Fairouz3ORCID,Malik Sarfraz Nawaz4ORCID

Affiliation:

1. Department of Mathematics, Government College University Faisalabad, Faisalabad 38000, Pakistan

2. Faculty of Science and Technology, University of the Faroe Islands, Vestarabryggja 15, FO 100 Torshavn, Faroe Islands, Denmark

3. Mathematics Department, College of Science, King Saud University, P.O. Box 22452, Riyadh 11495, Saudi Arabia

4. Department of Mathematics, COMSATS University Islamabad, Wah Campus, Wah Cantt 47040, Pakistan

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.

Publisher

MDPI AG

Subject

Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)

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4. Radius of convexity of some subclasses of strongly starlike functions;Stankiewicz;Zeszyty Nauk. Politech. Rzeszowskiej Mat.,1996

5. Starlike functions associated with exponential function and the lemniscate of Bernoulli;Khatter;Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat. RACSAM,2019

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