Applications of ( M, N )-Lucas Polynomials on a Certain Family of Bi-Univalent Functions

Abbas Kareem Wanas and Luminiţa-Ioana Cotîrlă
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Abbas Kareem Wanas: Department of Mathematics, College of Science, University of Al-Qadisiyah, Al-Qadisiyah 58001, Iraq
Luminiţa-Ioana Cotîrlă: Department of Mathematics, Technical University of Cluj-Napoca, 400114 Cluj-Napoca, Romania

Mathematics, 2022, vol. 10, issue 4, 1-11

Abstract: In the current article, making use of certain operator, we initiate and explore a certain family W Σ ( λ , γ , σ , δ , α , β , p , q ; h ) of holomorphic and bi-univalent functions in the open unit disk D . We establish upper bounds for the initial Taylor–Maclaurin coefficients and the Fekete–Szegö type inequality for functions in this family.

Keywords: ( M , N )-Lucas polynomials; bi-univalent function; upper bounds; holomorphic function; Fekete–Szegö problem (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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