A subclass of analytic functions defined by using certain operators of fractional calculus
type: Item
instance of: scholarly article
title: A subclass of analytic functions defined by using certain operators of fractional calculus
zbMATH Open document ID: 0838.30012
DOI: 10.1016/0898-1221(95)00063-5
publication date: 1996-06-09T00:00:00Z
full work available at URL: http://hdl.handle.net/11655/19750
review text: Making use of certain operators of fractional calculus, the authors introduce a new class \(F_\delta(n, \lambda, \alpha)\) of functions which are analytic in the open unit disk \(U\) and obtain a necessary and sufficient condition for a function to be in the class \(F_\delta(n, \lambda, \alpha)\). They also determine the radii of close-to-convexity, starlikeness, and convexity. Finally, an application involving fractional calculus \(F_\delta(n, \lambda, \alpha)\) is considered.
Mathematics Subject Classification ID: 30C45
Mathematics Subject Classification ID: 26A33
zbMATH DE Number: 825378
zbMATH Keywords: close-to-convexity
zbMATH Keywords: starlikeness
zbMATH Keywords: convexity
author: Osman Altintaş
author: Hüseyin Irmak
author: H. M. Srivastava
reviewed by: H. M. Srivastava
MaRDI profile type: Publication
OpenAlex ID: W2032243788
cites work: Q4185098
cites work: Univalent and Starlike Generalized Hypergeometric Functions
cites work: Q3775765
cites work: Univalent Functions with Negative Coefficients
cites work: Successive Coefficients of Univalent Functions
cites work: Q4338920
Wikidata QID: Q127517340
published in: Computers & Mathematics with Applications
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description: scientific article; zbMATH DE number 825378