# 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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