In this paper we introduce and investigate three new subclasses of p-valent analytic functions by using the linear operator Dmλ,p(f * g)(z). The various results obtained here for each of these function classes include coefficient bounds, distortion inequalities and associated inclusion relations for (n, θ)-neighborhoods of subclasses of analytic and multivalent functions with negative coefficients, which are defined by means of a non-homogenous differential equation.
@article{bwmeta1.element.doi-10_2478_v10062-011-0004-7,
author = {Rabha El-Ashwah and Mohamed Aouf and S. El-Deeb},
title = {
Inclusion and neighborhood properties of certain subclasses of
p
-valent functions of complex order defined by convolution
},
journal = {Annales UMCS, Mathematica},
volume = {65},
year = {2011},
pages = {33-48},
zbl = {1246.30022},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_v10062-011-0004-7}
}
Rabha El-Ashwah; Mohamed Aouf; S. El-Deeb.
Inclusion and neighborhood properties of certain subclasses of
p
-valent functions of complex order defined by convolution
. Annales UMCS, Mathematica, Tome 65 (2011) pp. 33-48. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_v10062-011-0004-7/
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