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Neighborhoods of Certain p-Valent Analytic Functions Defined by a Generalized Integral Operator.

Authors :
Huo Tang
Aouf, M. K.
Shuhai Li
Source :
Southeast Asian Bulletin of Mathematics. 2016, Vol. 40 Issue 3, p439-449. 11p.
Publication Year :
2016

Abstract

By making use of a generalized integral operator, we introduce and investigate two new subclasses of p-valent analytic functions. Apart from deriving coefficient bounds and distortion inequalities for each of these function classes, we obtain several inclusion relations associated with the (n, δ)-neighborhoods of subclasses of p-valent analytic functions and their derivatives, which is defined by means of a certain general family of non-homogenous Cauchy-Euler differential equations. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
01292021
Volume :
40
Issue :
3
Database :
Academic Search Index
Journal :
Southeast Asian Bulletin of Mathematics
Publication Type :
Academic Journal
Accession number :
117068949