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On Subclasses of Bi-Univalent Functions Dened by Generalized S~al~agean Operator Related to Shell-Like Curves Connected with Fibonacci Numbers
Abstract
The focus of the present work is to study certain new two subclasses
of bi-univalent functions defined by generalized S~al~agean differential
operators related to shell-like curves connected with Fibonacci numbers.
In particular, we obtain the upper estimates of the second, third
Taylor's Maclaurin coefficients and Fekete-Szego functionals of functions
in the new classes defined. Furthermore, we indicate certain special cases
of the new results obtained.
of bi-univalent functions defined by generalized S~al~agean differential
operators related to shell-like curves connected with Fibonacci numbers.
In particular, we obtain the upper estimates of the second, third
Taylor's Maclaurin coefficients and Fekete-Szego functionals of functions
in the new classes defined. Furthermore, we indicate certain special cases
of the new results obtained.
Keywords
Analytic functions; Univalent functions; bi-univalent functions; shell-like function; convex shell-like function; Caratheodeory functions; subordination
DOI: http://dx.doi.org/10.14510%2Flm-ns.v40i1.1459