Upper bound of second Hankel determinant for bi-univalent functions with respect to symmetric conjugate-Reference-Cited by-同舟云学术

Upper bound of second Hankel determinant for bi-univalent functions with respect to symmetric conjugate

Published:2020-12-01 Issue:2 Volume:28 Page:67-80
ISSN:1584-3289
Container-title:General Mathematics
language:en
Short-container-title:

Author:

Wanas Abbas Kareem¹,Bulut Serap²

Affiliation:

1. University of Al-Qadisiyah , College of Science , Department of Mathematics , Al Diwaniyah, Al-Qadisiyah , Iraq

2. Kocaeli University , Faculty of Aviation and Space Sciences , Arslanbey Campus, 41285 Kartepe , Kocaeli , Turkey

Abstract

Abstract In this article, our aim is to estimate an upper bounds for the second Hankel determinant H 2(2) of a certain class of analytic and bi-univalent functions with respect to symmetric conjugate defined in the open unit disk U.

Publisher

Walter de Gruyter GmbH

Link

https://www.sciendo.com/pdf/10.2478/gm-2020-0016

Reference28 articles.

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2. [2] S. Altinkaya S. Yalçin, Fekete-Szegö inequalities for classes of bi-univalent functions defined by subordination, Adv. Math. Sci. J., vol. 3, 2014, 63-71.

3. [3] S. Altinkaya, S. Yalçin, Coefficient estimates for two new subclasses of biunivalent functions with respect to symmetric points, J. Funct. Spaces, Art. ID 145242, 2015, 1-5.10.1155/2015/145242

4. [4] S. Altinkaya, S. Yalçin, Second Hankel determinant for a general subclass of bi-univalent functions, TWMS J. Pure Appl. Math., vol. 7, no. 1, 2016, 98-104.

5. [5] M. Caglar, H. Orhan, N. Yagmur, Coefficient bounds for new subclasses of biunivalent functions, Filomat, vol. 27, 2013, 1165-1171.10.2298/FIL1307165C

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