Inclusion and neighborhood properties of certain subclasses of p -valent functions of complex order defined by convolution
Rabha El-Ashwah; Mohamed Aouf; S. El-Deeb
Annales UMCS, Mathematica (2011)
- Volume: 65, Issue: 1, page 33-48
- ISSN: 2083-7402
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topRabha El-Ashwah, Mohamed Aouf, and S. El-Deeb. " Inclusion and neighborhood properties of certain subclasses of p -valent functions of complex order defined by convolution ." Annales UMCS, Mathematica 65.1 (2011): 33-48. <http://eudml.org/doc/267757>.
@article{RabhaEl2011,
abstract = {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.},
author = {Rabha El-Ashwah, Mohamed Aouf, S. El-Deeb},
journal = {Annales UMCS, Mathematica},
keywords = {Analytic; p-valent; (nθ)-neighborhood; inclusion relations; analytic; -valent; -neighborhood},
language = {eng},
number = {1},
pages = {33-48},
title = { Inclusion and neighborhood properties of certain subclasses of p -valent functions of complex order defined by convolution },
url = {http://eudml.org/doc/267757},
volume = {65},
year = {2011},
}
TY - JOUR
AU - Rabha El-Ashwah
AU - Mohamed Aouf
AU - S. El-Deeb
TI - Inclusion and neighborhood properties of certain subclasses of p -valent functions of complex order defined by convolution
JO - Annales UMCS, Mathematica
PY - 2011
VL - 65
IS - 1
SP - 33
EP - 48
AB - 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.
LA - eng
KW - Analytic; p-valent; (nθ)-neighborhood; inclusion relations; analytic; -valent; -neighborhood
UR - http://eudml.org/doc/267757
ER -
References
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