Publication: On the chebyshev polynomial coefficient problem of bi-bazilevi functions
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AltInkaya, Şahsene
Yalçın, Sibel
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Türk Dünyası Matematik Topluluğu
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Abstract
A function said to be bi-Bazilevic in the open unit disk U if both the function and its inverse are Bazilevic there. In this paper, we will study a newly constructed class of bi-Bazilevic functions. Furthermore, we establish Chebyshev polynomial bounds for the coefficients, and get Fekete-Szego inequality, for the class B(beta, t).
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Fekete-szego problem, Univalent functions, General subclass, Bounds, Chebyshev polynomials, Analytic and univalent functions, Bi-univalent functions, Bi-bazilevic functions, Coefficient bounds, Subordination, Fekete-szego inequality, Science & technology, Physical sciences, Mathematics, applied, Mathematics