New Subclasses of Regular and Bi-univalent Functions Based on Horadam polynomials

Authors

  • Mohamed Al-Sultani University of Kerbala, College of Education for Pure Sciences, Department of Mathematics, Karbala, Iraq
  • Mohammed H. Saloomi University of Kerbala, College of Education for Pure Sciences, Department of Mathematics, Karbala, Iraq

Keywords:

Regular function, univalent function, subordination, bi-univalent function, Horadam polynomials, pseudo-starlike functions, Fekete- Szego ̈

Abstract

In this paper, new subclasses of bi-univalent functions associated with Horadam polynomials are introduced and investigated. Additionally, the researchers find estimates of the first two coefficients of functions in these subclasses. Moreover, they obtained the Fekete-Szegö inequalities for these function classes. Besides, pertinent links of the results are provied  with those considered in previously investigations.

Downloads

Published

2025-06-30

How to Cite

Al-Sultani , M., & H. Saloomi , M. (2025). New Subclasses of Regular and Bi-univalent Functions Based on Horadam polynomials. Pure Sciences International Journal of Kerbala, 2(6), 60–65. Retrieved from https://journals.uokerbala.edu.iq/index.php/psijk/article/view/3750

Issue

Vol. 2 No. 6 (2025): Pure Sciences International Journal of Kerbala

Section

Articles

Similar Articles

You may also start an advanced similarity search for this article.