Some applications of generalized fractional calculus operators to a novel class of analytic functions with negative coefficients
type: Item
instance of: scholarly article
title: Some applications of generalized fractional calculus operators to a novel class of analytic functions with negative coefficients
zbMATH Open document ID: 1071.30008
author: Hüseyin Irmak
author: Ravinder Krishna Raina
published in: Taiwanese Journal of Mathematics
publication date: 2005-03-21T00:00:00Z
review text: In the present paper the author introduces a novel class \(T^{\mu,\varphi,\eta}_\lambda(n,\alpha)\) of functions which are analytic and univalent in the open unit disk \(U\). A necessary and sufficient condition for a function to be in the class \(T^{\mu,\varphi,\eta}_\lambda(n,\alpha)\) is obtained. This paper also includes distortion theorems involving generalized fractional integrals and generalized fractional derivatives, radii of close-to-convexity, starlikeness and convexity.
reviewed by: Tej Singh Nahar
Mathematics Subject Classification ID: 30C45
Mathematics Subject Classification ID: 26A33
zbMATH DE Number: 2148907
zbMATH Keywords: analytic functions
zbMATH Keywords: maximum modulus theorem
zbMATH Keywords: fractional integrals
zbMATH Keywords: fractional derivatives
zbMATH Keywords: starlike and convex functions
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.11650/twjm/1500407664
OpenAlex ID: W1575623830
DOI: 10.11650/TWJM/1500407664
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description: scientific article; zbMATH DE number 2148907