Open Access
Translator Disclaimer
2012 Hankel determinant for starlike and convex functions of order alpha
D. Vamshee Krishna, T. Ramreddy
Author Affiliations +
Tbilisi Math. J. 5(1): 65-76 (2012). DOI: 10.32513/tbilisi/1528768890

Abstract

The objective of this paper is to obtain an upper bound to the second Hankel determinant $|a_{2}a_{4}-a_{3}^{2}|$ for starlike and convex functions of order $\alpha$ $(0\leq\alpha\lt1)$, also for the inverse function of $f$, belonging to the class of convex functions of order $\alpha$, using Toeplitz determinants.

Citation

Download Citation

D. Vamshee Krishna. T. Ramreddy. "Hankel determinant for starlike and convex functions of order alpha." Tbilisi Math. J. 5 (1) 65 - 76, 2012. https://doi.org/10.32513/tbilisi/1528768890

Information

Received: 21 October 2011; Revised: 11 October 2012; Accepted: 29 October 2012; Published: 2012
First available in Project Euclid: 12 June 2018

zbMATH: 1279.30017
MathSciNet: MR3006759
Digital Object Identifier: 10.32513/tbilisi/1528768890

Subjects:
Primary: 30C45
Secondary: 30C50

Rights: Copyright © 2012 Tbilisi Centre for Mathematical Sciences

JOURNAL ARTICLE
12 PAGES


SHARE
Vol.5 • No. 1 • 2012
Back to Top