On H3(1) Hankel determinant for starlike and convex functions associated with exponential function

This research aims to present and study the convex subclasses and starlike functions of the analytic functions defined in the open unit disk Ư and to investigate the third-order Hankel determinant H3,1 for these subclasses related to the exponential function. As well as the upper bounds of H2,2 (g)...

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Bibliographic Details
Published in:	Journal of interdisciplinary mathematics Vol. 27; no. 4; pp. 897 - 905
Main Authors:	Erzig, Omar S., Juma, Abdul Rahman S., Al-Fayadh, Ali
Format:	Journal Article
Language:	English
Published:	2024
Online Access:	Get full text
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Summary:	This research aims to present and study the convex subclasses and starlike functions of the analytic functions defined in the open unit disk Ư and to investigate the third-order Hankel determinant H3,1 for these subclasses related to the exponential function. As well as the upper bounds of H2,2 (g) and H3,1 (g) for the convex and starlike functions, and the estimates of the coefficients \|d3\|,\|d4\|, and \|d5\| were obtained.
ISSN:	0972-0502 2169-012X
DOI:	10.47974/JIM-1909