Inclusion and neighborhood properties of certain subclasses of p-valent functions of complex order defined by convolution
R. M. El-Ashwah; M. K. Aouf; S. M. El-Deeb
Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica (2011)
- Volume: 65, Issue: 1
- ISSN: 0365-1029
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topR. M. El-Ashwah, M. K. Aouf, and S. M. El-Deeb. "Inclusion and neighborhood properties of certain subclasses of p-valent functions of complex order defined by convolution." Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica 65.1 (2011): null. <http://eudml.org/doc/289762>.
@article{R2011,
abstract = {In this paper we introduce and investigate three new subclasses of $p$-valent analytic functions by using the linear operator $D_\{\lambda ,p\}^m(f*g)(z)$. The various results obtained here for each of these function classes include coefficient bounds, distortion inequalities and associated inclusion relations for $(n,\theta )$-neighborhoods of subclasses of analytic and multivalent functions with negative coefficients, which are defined by means of a non-homogenous differential equation.},
author = {R. M. El-Ashwah, M. K. Aouf, S. M. El-Deeb},
journal = {Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica},
keywords = {Analytic; $p$-valent; $(n,\theta )$-neighborhood; inclusion relations},
language = {eng},
number = {1},
pages = {null},
title = {Inclusion and neighborhood properties of certain subclasses of p-valent functions of complex order defined by convolution},
url = {http://eudml.org/doc/289762},
volume = {65},
year = {2011},
}
TY - JOUR
AU - R. M. El-Ashwah
AU - M. K. Aouf
AU - S. M. El-Deeb
TI - Inclusion and neighborhood properties of certain subclasses of p-valent functions of complex order defined by convolution
JO - Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
PY - 2011
VL - 65
IS - 1
SP - null
AB - In this paper we introduce and investigate three new subclasses of $p$-valent analytic functions by using the linear operator $D_{\lambda ,p}^m(f*g)(z)$. The various results obtained here for each of these function classes include coefficient bounds, distortion inequalities and associated inclusion relations for $(n,\theta )$-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; $(n,\theta )$-neighborhood; inclusion relations
UR - http://eudml.org/doc/289762
ER -
References
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