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Starlike Functions Associated with Secant Hyperbolic Function

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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… Click to show full 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.

Keywords: secant hyperbolic; functions associated; hyperbolic function; starlike functions; associated secant

Journal Title: Symmetry
Year Published: 2023

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