Third Hankel Determinant for a Subfamily of Holomorphic Functions Related with Lemniscate of Bernoulli-Reference-Cited by-同舟云学术

Third Hankel Determinant for a Subfamily of Holomorphic Functions Related with Lemniscate of Bernoulli

Published:2023-02-25 Issue:5 Volume:11 Page:1147
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Orhan Halit¹,Çağlar Murat²^ORCID,Cotîrlă Luminiţa-Ioana³^ORCID

Affiliation:

1. Department of Mathematics, Faculty of Science, Atatürk University, 25240 Erzurum, Türkiye

2. Department of Mathematics, Faculty of Science, Erzurum Technical University, 25100 Erzurum, Türkiye

3. Department of Mathematics, Technical University of Cluj-Napoca, 400114 Cluj-Napoca, Romania

Abstract

The main goal of this investigation is to obtain sharp upper bounds for Fekete-Szegö functional and the third Hankel determinant for a certain subclass SL∗u,v,α of holomorphic functions defined by the Carlson-Shaffer operator in the unit disk. Finally, for some special values of parameters, several corollaries were presented.

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2227-7390/11/5/1147/pdf

Reference29 articles.

1. Coefficient estimates in a class of strongly starlike functions;Kyungpook Math. J.,2009

2. Radius of convexity of some subclasses of strongly starlike functions;Stankiewicz;Zesz. Nauk. Politech. Rzesz. Mat,1996

3. Convolutions of prestarlike functions;Ahuja;Int. J. Math. Math. Sci.,1983

4. Robertson, M.I. (1936). On the theory of univalent functions. Ann. Math., 374–408.

5. Ruscheweyh, S. (1982). Convolutions in Geometric Function Theory, Gaetan Morin Editeur Ltee.St.

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