The application of quasi-subordination for non-bazilević functions

The inequality of finding the upper bounds for the nonlinear functional |a3 - µa22| of the Taylor-Mclaurin series is popularly famous as the Fekete-Szegö inequality. This inequality has a rich history in the geometric function theory. Its source by Fekete-Szegö in 1933. In this paper, through the ad...

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Bibliographic Details
Main Authors: Al-Khafaji, Saba N., Al-Fayadh, Ali, Abbood, Mohaimen Muhammed
Format: Conference Proceeding
Language:English
Subjects:
Exponential functions
Functionals
MacLaurin series
Upper bounds
Online Access:Get full text
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Summary:The inequality of finding the upper bounds for the nonlinear functional |a3 - µa22| of the Taylor-Mclaurin series is popularly famous as the Fekete-Szegö inequality. This inequality has a rich history in the geometric function theory. Its source by Fekete-Szegö in 1933. In this paper, through the advantage of applying concepts quasi-subordinate, Sakaguchi functions and exponential functions, the authors construct a new subclass Ne,q(s, b, λ) of Non-Bazilević functions. As well as, obtained the first and two Taylor-Maclaurin coefficient estimates, sharp upper bounds of the Fekete-Szegö inequality and majorization for functions which belong to this subclass.
ISSN:0094-243X
1551-7616
DOI:10.1063/5.0104284