Certain Subclass of Multivalently Bazilevič and Non-Bazilevič Functions Involving the Lemniscate of Bernoulli

Authors

  • Tamer M. Seoudy Department of Mathematics, Jamoum University College, Umm Al-Qura University, Makkah, Saudi Arabia
  • Amnah E. Shammaky Department of Mathematics, Faculty of Science, Jazan University, Jazan, Saudi Arabia

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i2.5869

Keywords:

Analytic functions, subordination, convolution, Fekete--Szegö problem., non-Bazilevič function, Bazilevič function

Abstract

Making use of the principle of subordination, we define a certain subclass of p-valently Bazilevič and non-Bazilevič functionsassociated with the Lemniscate of Bernoulli. Also, subordination results, inclusion relationship, convolution properties, coefficients estimate and Fekete--Szegö inequalities for this subclass are derived.

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Published

2025-05-01

Issue

Vol. 18 No. 2: (April 2025)

Section

Complex Analysis

License

Copyright (c) 2025 Tamer M. Seoudy, Amnah E. Shammaky

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How to Cite

Certain Subclass of Multivalently Bazilevič and Non-Bazilevič Functions Involving the Lemniscate of Bernoulli. (2025). European Journal of Pure and Applied Mathematics, 18(2), 5869. https://doi.org/10.29020/nybg.ejpam.v18i2.5869