A certain fractional derivative operator and its applications to a new class of analytic and multivalent functions with negative coefficients
type: Item
instance of: scholarly article
title: A certain fractional derivative operator and its applications to a new class of analytic and multivalent functions with negative coefficients
zbMATH Open document ID: 0760.30006
DOI: 10.1016/0022-247X(92)90373-L
author: M. K. Aouf
author: H. M. Srivastava
published in: Journal of Mathematical Analysis and Applications
publication date: 1993-04-01T00:00:00Z
review text: Making use of a certain operator of fractional derivatives, a new subclass \({\mathcal J}_ p(\alpha,\beta,\lambda)\) of analytic and \(p\)-valent functions with negative coefficients is introduced and studied here rather systematically. Coefficient estimates, distortion theorems, and various other interesting and useful properties of this class of functions are given; some of these properties involve, for example, linear combinations and modified Hadamard products of several functions belonging to the class introduced here.
Mathematics Subject Classification ID: 30C45
Mathematics Subject Classification ID: 30C50
zbMATH DE Number: 150675
zbMATH Keywords: coefficient estimates
zbMATH Keywords: fractional derivatives
zbMATH Keywords: \(p\)-valent functions
zbMATH Keywords: Hadamard products
reviewed by: H. M. Srivastava
MaRDI profile type: Publication
cites work: Q5827353
cites work: Certain classes of univalent functions with negative coefficients II
cites work: The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
cites work: Q4185098
cites work: Q3314125
cites work: Some characterization theorems for starlike and convex functions involving a certain fractional integral operator
cites work: Q4183784
cites work: Q4726489
cites work: Q4115628
cites work: Q3672220
cites work: Q3715371
cites work: Q3995292
description: scientific article; zbMATH DE number 150675