Work

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

Year: 2026

Type: article

Abstract: 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 $E^{\eta}_{\lambda, \gamma, \mu}(\alpha, \beta),$ respectively, and defined in the domain of open unit disk $\mathbb{D}=\{z \in \mathbb{C}\colon |z|<1\}.$ We establish sufficient conditions for functions to be members of families mentioned above. Further, the bounds of some initial coefficients and Fekete–Szegö functionals for the classes described above are obtained.

Source: Ukrains’kyi Matematychnyi Zhurnal

DOI: 10.3842/umzh.v78i3-4.9343

Authors: Eureka Pattnayak, Trailokya Panigrahi, Rabha M. El-Ashwah

Institutions: Institute of Mathematics and Applications, Bhubaneswar, Damietta University

Language: English

Topic: Analytic and geometric function theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W7142145812

FWCI:

Cites:

Cited by:

Related to: 10