Bi-Bazilevič functions of order \(\vartheta +i\delta\) associated with \((p, q)\)-Lucas polynomials

DOI10.3934/math.2021254zbMath1484.30005OpenAlexW3127343624MaRDI QIDQ2133186

Tariq Al-Hawary, Ala Amourah, Basem Aref Frasin, Gangadharan Murugusundaramoorthy

Publication date: 29 April 2022

Published in: AIMS Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/math.2021254

zbMATH Keywords

analytic functionsunivalent functionsbi-univalent functionsBazilevič functionsLucas polynomial

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45)

Related Items (8)

On a new subclass of biunivalent functions associated with the $(p,q)$-Lucas polynomials and bi-Bazilevic type functions of order $\rho+i\xi$ ⋮ Fekete-Szegö inequality for bi-univalent functions by means of Horadam polynomials ⋮ Fekete-Szegö inequality for analytic and biunivalent functions subordinate to Gegenbauer polynomials ⋮ On some new subclasses of bi-univalent functions defined by generalized bivariate Fibonacci polynomial ⋮ A new characterization of \((P, Q)\)-Lucas polynomial coefficients of the bi-univalent function class associated with \(q\)-analogue of Noor integral operator ⋮ Subclasses of bi-univalent functions subordinate to Gegenbauer polynomials ⋮ Unnamed Item ⋮ Coefficient bounds and Fekete-Szegö problem for qualitative subclass of bi-univalent functions

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