Bounds for Two New Subclasses of Bi-Univalent Functions Associated with Legendre Polynomials

Abdel Moneim Y. Lashin, Abeer O. Badghaish and Amani Z. Bajamal
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Abdel Moneim Y. Lashin: Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia
Abeer O. Badghaish: Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia
Amani Z. Bajamal: Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia

Mathematics, 2021, vol. 9, issue 24, 1-9

Abstract: In this article, two new subclasses of the bi-univalent function class σ related with Legendre polynomials are presented. Additionally, the first two Taylor–Maclaurin coefficients a 2 and a 3 for the functions belonging to these new subclasses are estimated.

Keywords: Legendre polynomials; coefficient estimations; starlike and convex functions; bi-univalent functions; subordination (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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