On the \((p, q)\)-Lucas polynomial coefficient bounds of the bi-univalent function class \(\sigma\)

DOI10.1007/s40590-018-0212-zzbMath1430.30006OpenAlexW2883471561MaRDI QIDQ2010838

Şahsene Altınkaya, Sibel Yalçin Karpuzoǧullari

Publication date: 28 November 2019

Published in: Boletín de la Sociedad Matemática Mexicana. Third Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40590-018-0212-z

zbMATH Keywords

coefficient boundsnew class of analytic functions on the disk\((p,q)\)-Lucas polynomials

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Coefficient problems for univalent and multivalent functions of one complex variable (30C50)

Related Items (14)

On a new subclass of biunivalent functions associated with the $(p,q)$-Lucas polynomials and bi-Bazilevic type functions of order $\rho+i\xi$ ⋮ \((P, Q)\)-Lucas polynomial coefficient inequalities of bi-univalent functions defined by the combination of both operators of Al-Aboudi and Ruscheweyh ⋮ Bi-Bazilevič functions of order \(\vartheta +i\delta\) associated with \((p, q)\)-Lucas polynomials ⋮ On some new subclasses of bi-univalent functions defined by generalized bivariate Fibonacci polynomial ⋮ Unnamed Item ⋮ A new characterization of \((P, Q)\)-Lucas polynomial coefficients of the bi-univalent function class associated with \(q\)-analogue of Noor integral operator ⋮ Initial estimates for certain subclasses of bi-univalent functions with \(\kappa\)-Fibonacci numbers ⋮ A subclass with bi-univalence involving \((\mathfrak{p},\mathfrak{q})\)-Lucas polynomials and its coefficient bounds ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Horadam polynomial coefficient estimates for the classes of \(\lambda \)-bi-pseudo-starlike and bi-Bazilevič functions ⋮ Certain classes of bi-univalent functions associated with the Horadam polynomials ⋮ Unnamed Item ⋮ \((\mathfrak{P}, \mathcal{Q})\)-Lucas polynomial coefficient relations of bi-univalent functions defined by the combination of Opoola and Babalola differential operators

Cites Work

• Orthogonal polynomials and Riesz bases applied to the solution of Love's equation
• Faber polynomial coefficient estimates for a comprehensive subclass of analytic bi-univalent functions defined by subordination
• Certain subclasses of analytic and bi-univalent functions
• Ordering of nested square roots of 2 according to the Gray code
• Some properties of the \((p,q)\)-Fibonacci and \((p,q)\)-Lucas polynomials
• The minimal distance of the image boundary from the origin and the second coefficient of a univalent function in \(| z| < 1\)
• The class of Lucas-Lehmer polynomials
• On a Coefficient Problem for Bi-Univalent Functions
• Faber polynomial coefficient bounds for a subclass of bi-univalent functions
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