Sufficient conditions for starlikeness related to a hyperbolic cosine function

• Date: 2025
• Main Authors: Kumar, S. Sivaprasad, Mundalia, Mridula
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2025
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/8382
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.5 We determine sufficient conditions for functions to be in the class $\mathcal{S}^{*}_{\varrho}$ formed by starlike functions related to $\cosh \sqrt{z}$ by using the Briot–Bouquet and other differential subordination techniques. Additionally, in order to ensure the sharpness of our results...