Some special families of holomorphic and Al-Oboudi type bi-univalent functions related to \(k\)-Fibonacci numbers involving modified sigmoid activation function

DOI10.1007/S13370-020-00850-WzbMath1488.30069OpenAlexW3093697257MaRDI QIDQ821289

J. Nirmala, Basem Aref Frasin, Sondekola Rudra Swamy

Publication date: 20 September 2021

Published in: Afrika Matematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13370-020-00850-w

zbMATH Keywords

Fibonacci numbersholomorphic functionbi-univalent functionFekete-Szegö inequalitymodified sigmoid function

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Classical hypergeometric functions, ({}_2F_1) (33C05) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Coefficient problems for univalent and multivalent functions of one complex variable (30C50)

Related Items (7)

A comprehensive family of biunivalent functions defined by \(k\)-Fibonacci numbers ⋮ Fekete-Szegö inequality for bi-univalent functions by means of Horadam polynomials ⋮ A comprehensive family of bi-univalent functions defined by \((m, n)\)-Lucas polynomials ⋮ On some new subclasses of bi-univalent functions defined by generalized bivariate Fibonacci polynomial ⋮ On sharp bounds of Fekete-Szegő functional for a certain bi-univalent function class associated with quasi-subordination ⋮ Fekete-Szegö inequality for bi-univalent functions subordinate to Horadam polynomials ⋮ Subclasses of bi-univalent functions subordinate to Gegenbauer polynomials

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