Coefficients estimates of a new class of analytic bi-univalent functions with bounded boundary rotation

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Hacettepe Journal of Mathematics and Statistics
Volume:51 Issue:5
Coefficients estimates of a new class of analytic bi-univalent functions with bounded boundary rotat...

Coefficients estimates of a new class of analytic bi-univalent functions with bounded boundary rotation

Authors : Pranay GOSWAMİ, Serap BULUT, Neetu SEKHAWAT

Pages : 1271-1279

Doi:10.15672/hujms.822815

View : 63 | Download : 14

Publication Date : 2022-10-01

Article Type : Research Paper

Abstract :In this paper, we introduce a new subclass of analytic bi-univalent functions defined by using $q$-derivative operator. Further, we obtain both some initial and general coefficient bounds, and also Fekete-Szegö inequalities for bi-univalent functions that belong to this class. Our results extend and improve some known results as special cases.
Keywords : univalent functions, bi univalent functions, bounded boundary rotations, coefficient estimates, fekete Szegö problem, q calculus

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