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1. SHARP COEFFICIENT ESTIMATES FOR NON-BAZILEVIČ FUNCTIONS.

Author

JI HYANG PARK, KUMAR, VIRENDRA, and NAK EUN CHO

Subjects
*DIFFERENTIAL equations, *MATHEMATICAL physics, *ANALYTIC functions, *MATHEMATICAL functions, *GEOMETRIC function theory
Abstract

The class B¯(α) of non-Bazilevič functions was introduced by Obradović. Later, estimates on the second coefficient and Fekete-Szegö functional for normalized analytic functions in the class B¯(α) were investigated by Tuneski and Darus. In the present work, sharp estimate on third to eighth coefficients for normalized analytic functions f(z) = z + a2z2 + a3z3 + ... ∊ B¯(α) are investigated. Further sharp estimate on the functional ∣a2a3 - a4∣ is also obtained. [ABSTRACT FROM AUTHOR]

Published
2019

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