HANKEL DETERMINANT OF CERTAIN ORDERS FOR SOME SUBCLASSES OF HOLOMORPHIC FUNCTIONS

In this paper, we are introducing certain subfamilies of holomorphic functions and making an attempt to obtain an upper bound (UB) to the second and third order Hankel determinants by applying certain lemmas, Toeplitz determinants, for the normalized analytic functions belong to these classes, defin...

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Bibliographic Details
Published in:Ural mathematical journal 2022-07, Vol.8 (1), p.128
Main Authors: Vamshee Krishna, D., Shalini, D.
Format: Article
Language:English
Subjects:
holomorphic function, upper bound, hankel determinant, positive real function
Online Access:Get full text
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Summary:In this paper, we are introducing certain subfamilies of holomorphic functions and making an attempt to obtain an upper bound (UB) to the second and third order Hankel determinants by applying certain lemmas, Toeplitz determinants, for the normalized analytic functions belong to these classes, defined on the open unit disc in the complex plane. For one of the inequality, we have obtained sharp bound.
ISSN:2414-3952
2414-3952
DOI:10.15826/umj.2022.1.011