Initial bounds for certain classes of bi-univalent functions defined by Horadam polynomials

DOI10.1155/2020/7391058zbMath1436.30010arXiv1812.04464OpenAlexW3004277151MaRDI QIDQ2303086

Jagadeesan Yamini, Chinnaswamy Abirami, Nanjundan Magesh

Publication date: 2 March 2020

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.04464

zbMATH Keywords

univalent functionsbi-univalent functionscoefficient estimateHoradam polynomials

Mathematics Subject Classification ID

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

Related Items (11)

Coefficient bounds and Fekete-Szegö inequality for a new family of bi-univalent functions defined by Horadam polynomials ⋮ Coefficients bounds for a family of bi-univalent functions defined by Horadam polynomials ⋮ The study of coefficient estimates and Fekete-Szegö inequalities for the new classes of \(m\)-fold symmetric bi-univalent functions defined using an operator ⋮ Horadam polynomials and a class of biunivalent functions defined by Ruscheweyh operator ⋮ New family of bi-univalent functions with respect to symmetric conjugate points associated with Borel distribution ⋮ Applications of Borel distribution series on holomorphic and bi-univalent functions ⋮ Unnamed Item ⋮ Horadam polynomials for a new family of \(\lambda\)-pseudo bi-univalent functions associated with Sakaguchi type functions ⋮ Certain classes of bi-univalent functions associated with the Horadam polynomials ⋮ CERTAIN NEW FAMILIES FOR BI-UNIVALENT FUNCTIONS DEFINED BY A KNOWN OPERATOR ⋮ Unnamed Item

Cites Work

• Bi-univalent functions with positive real part derivatives
• Coefficient estimates for bi-univalent Ma-Minda starlike and convex functions
• On the coefficients of several classes of bi-univalent functions
• Certain subclasses of analytic and bi-univalent functions
• An unified approach to second Hankel determinant of bi-subordinate functions
• Chebyshev polynomial coefficient estimates for a class of analytic bi-univalent functions related to pseudo-starlike functions
• Initial coefficients of biunivalent functions
• Faber polynomial coefficient estimates for bi-univalent functions defined by the Tremblay fractional derivative operator
• Subclasses of bi-univalent functions related to shell-like curves connected with Fibonacci numbers
• On the Fekete-Szegő problem for classes of bi-univalent functions
• Coefficient problems for unified starlike and convex classes of m-fold symmetric bi-univalent functions
• Second Hankel determinant for certain class of bi-univalent functions defined by Chebyshev polynomials
• Second Hankel determinant for certain subclasses ofbi-univalent functions
• Some general coefficient estimates for a new class of analytic and bi-univalent functions defined by a linear combination
• Some extensions of coefficient problems for bi-univalent Ma-Minda starlike and convex functions
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