Some properties of subclasses of spiral-like functions involving beta-negative binomial distribution

• Date: 2026
• Main Authors: Pattnayak, Eureka, Panigrahi, Trailokya, El-Ashwah, Rabha M.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2026
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/9343
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.53 By using beta-negative binomial distribution, we introduce two novel subclasses of spiral-like functions; namely,  spiral-starlike functions and spiral-convex functions denoted by $S^{\eta}_{\lambda, \gamma, \mu}(\alpha, \beta)$ and $E^{\eta}_{\lambda, \gamma, \mu}(\alpha, \beta),$ respec...