COEFFICIENT ESTIMATES FOR A SUBCLASS OF ANALYTIC BI-UNIVALENT FUNCTIONS
COEFFICIENT ESTIMATES FOR A SUBCLASS OF ANALYTIC BI-UNIVALENT FUNCTIONS
Summary: In this work, we use the Faber polynomial expansions to find upper bounds for the coefficients of analytic bi-univalent functions in subclass \( \Sigma(\tau,\gamma,\phi)\) which is defined by subordination conditions in the open unit disk \(\mathbb{U}\). In certain cases, our estimates improve some of those existing coefficient bounds.
- University of Kocaeli Turkey
Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.), analytic functions, univalent functions, Faber polynomials, Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination, coefficient estimates, subordination, bi-univalent functions
Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.), analytic functions, univalent functions, Faber polynomials, Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination, coefficient estimates, subordination, bi-univalent functions
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