SOME CONDITIONS FOR FUNCTIONS DEFINED BY BINOMIAL DISTRIBUTION TO BE IN A COMPREHENSIVE SUBFAMILY OF ANALYTIC FUNCTIONS

Authors

  • Basem Aref Frasin Faculty of Science, Department of Mathematics, Al al-Bayt University
  • Tariq Al-Hawary Department of Applied Science, Ajloun College, Al Balqa Applied University
  • Jamal Salah Jamal Salah: College of Applied and Health Sciences, A'Sharqiyah University

Abstract

In this paper, considering the exciting recent results on binomial distribution,we examine an extensive subfamily Θϖ(C1,C2,C3,C4) of univalent functions. Also, we givesome conditions for the functions F(β,δ,ℷ), F(β,δ,ℷ)h and the operator L(β,δ,ℷ) dened bythe binomial distribution to be in this subfamily. The novelty of this research to inspire researchers of further studies to find new conditions to be in the subfamily Θϖ(C1,C2,C3,C4) not only for binomial distribution but also for many other special functions. Moreover, we summarizes many previous studies.

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Published

2025-06-02

Issue

Volume 30, Number 2, June 2025

Section

Articles