Some coefficient bounds associated with transforms of bounded turning functions

• Date: 2023
• Main Authors: Vani, N., Krishna, D. Vamshee, Shalini, D.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2023
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/6671
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.5 We present the derivation of an upper bound for the Hankel determinants of certain orders linked with the $k$th-root transform $[f(z ^k )] ^{\frac{1}{k}}$ of the holomorphic mapping $f(z)$ whose derivative has a positive real part with normalization, namely, $f(0)=0$ and $f'(0)=1....