SOME OPERATORS OF FRACTIONAL CALCULUS AND THEIR APPLICATIONS INVOLVING A NOVEL CLASS OF ANALYTIC-FUNCTIONS

Citation
Mp. Chen et al., SOME OPERATORS OF FRACTIONAL CALCULUS AND THEIR APPLICATIONS INVOLVING A NOVEL CLASS OF ANALYTIC-FUNCTIONS, Applied mathematics and computation, 91(2-3), 1998, pp. 285-296
Citations number
21
Categorie Soggetti
Mathematics,Mathematics
ISSN journal
00963003
Volume
91
Issue
2-3
Year of publication
1998
Pages
285 - 296
Database
ISI
SICI code
0096-3003(1998)91:2-3<285:SOOFCA>2.0.ZU;2-Q
Abstract
Making use of certain operators of fractional calculus (that is, fract ional integral and fractional derivative), generalizations of various growth-and-distortion type results in terms of a novel class of analyt ic functions are presented. These general results are shown to stem na turally from some recent conjectures and theorems in Geometric Functio n Theory. (C) 1998 Elsevier Science Inc. All rights reserved.