Starlike Functions Associated with Secant Hyperbolic Function

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 a. It also finds a radius for ratios of analytic functions associated with Euler numbers.

Automated summary

Motivated by recent work on symmetric domains, this article investigates certain features of symmetric domains caused by secant hyperbolic functions. It discusses the geometric characteristics of analytic functions associated with secant hyperbolic functions, including inclusion results, structural formulas, and certain sharp radii results such as the radius of starlikeness and convexity. The article also finds a radius for ratios of analytic functions associated with Euler numbers.