Second Hankel determinant for a class of analytic functions defined by fractional derivative
type: Item
instance of: scholarly article
title: Second Hankel determinant for a class of analytic functions defined by fractional derivative
zbMATH Open document ID: 1158.30308
DOI: 10.1155/2008/153280
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2008-08-19T00:00:00Z
full work available at URL: https://eudml.org/doc/55204
review text: Summary: By making use of the fractional differential operator \(\Omega_z^\lambda\) due to Owa and Srivastava, a class of analytic functions \({\mathcal R}_\lambda(\alpha,\rho)\) \((0\leq\rho\leq1\), \(0\leq\lambda<1\), \(|\alpha|<\pi/2)\) is introduced. The sharp bound for the nonlinear functional \(|a_2a_4-a_3^2|\) is found. Several basic properties such as inclusion, subordination, integral transform, Hadamard product are also studied.
Mathematics Subject Classification ID: 30C45
zbMATH DE Number: 5313276
zbMATH Keywords: starlike of order \(\beta\)
zbMATH Keywords: convex of order \(\beta\)
zbMATH Keywords: close-to-convex functions
author: Akshaya Kumar Mishra
author: Priyabrat Gochhayat
MaRDI profile type: Publication
OpenAlex ID: W1982930371
Wikidata QID: Q58645415
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DBLP publication ID: journals/ijmmsc/MishraG08
description: scientific article; zbMATH DE number 5313276