Sharp initial coefficient bounds and the Fekete–Szegö problem for some certain subclasses of analytic and bi-univalent functions-Reference-Cited by-同舟云学术

Sharp initial coefficient bounds and the Fekete–Szegö problem for some certain subclasses of analytic and bi-univalent functions

Published:2023-03-02 Issue:2 Volume:75 Page:198-206
ISSN:1027-3190
Container-title:Ukrains’kyi Matematychnyi Zhurnal
language:
Short-container-title:Ukr. Mat. Zhurn.

Author:

Patil A. B.,Shaba T. G.

Abstract

UDC 517.5 We introduce two new subclasses 𝒰 Σ ( α , λ ) and ℬ 1 Σ ( α ) of analytic bi-univalent functions defined in the open unit disk 𝕌 , which are associated with the Bazilevich functions. In addition, for functions that belong to these subclasses, we obtain sharp bounds for the initial Taylor–Maclaurin coefficients a 2 and a 3 , as well as the sharp estimate for the Fekete–Szegö functional a 3 - μ a 2 2 .

Publisher

SIGMA (Symmetry, Integrability and Geometry: Methods and Application)

Subject

General Earth and Planetary Sciences,General Engineering,General Environmental Science

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