# Inclusion properties of certain subclasses of analytic functions defined by generalized Sălăgean operator

M. Aouf; A. Shamandy; A. Mostafa; S. Madian

Annales UMCS, Mathematica (2010)

- Volume: 64, Issue: 1, page 17-26
- ISSN: 2083-7402

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topM. Aouf, et al. "Inclusion properties of certain subclasses of analytic functions defined by generalized Sălăgean operator." Annales UMCS, Mathematica 64.1 (2010): 17-26. <http://eudml.org/doc/268253>.

@article{M2010,

abstract = {Let A denote the class of analytic functions with the normalization f(0) = f'(0) - 1 = 0 in the open unit disc U = \{z : |z| < 1\}. Set [...] and define ∞nλ, μ in terms of the Hadamard product [...] . In this paper, we introduce several subclasses of analytic functions defined by means of the operator Inλ, μ A → A, given by [...] . Inclusion properties of these classes and the classes involving the generalized Libera integral operator are also considered.},

author = {M. Aouf, A. Shamandy, A. Mostafa, S. Madian},

journal = {Annales UMCS, Mathematica},

keywords = {Analytic; Hadamard product; starlike; convex; analytic function; starlike function; convex function},

language = {eng},

number = {1},

pages = {17-26},

title = {Inclusion properties of certain subclasses of analytic functions defined by generalized Sălăgean operator},

url = {http://eudml.org/doc/268253},

volume = {64},

year = {2010},

}

TY - JOUR

AU - M. Aouf

AU - A. Shamandy

AU - A. Mostafa

AU - S. Madian

TI - Inclusion properties of certain subclasses of analytic functions defined by generalized Sălăgean operator

JO - Annales UMCS, Mathematica

PY - 2010

VL - 64

IS - 1

SP - 17

EP - 26

AB - Let A denote the class of analytic functions with the normalization f(0) = f'(0) - 1 = 0 in the open unit disc U = {z : |z| < 1}. Set [...] and define ∞nλ, μ in terms of the Hadamard product [...] . In this paper, we introduce several subclasses of analytic functions defined by means of the operator Inλ, μ A → A, given by [...] . Inclusion properties of these classes and the classes involving the generalized Libera integral operator are also considered.

LA - eng

KW - Analytic; Hadamard product; starlike; convex; analytic function; starlike function; convex function

UR - http://eudml.org/doc/268253

ER -

## References

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- Owa, S., Srivastava, H. M., Some applications of the generalized Libera operator, Proc. Japan Acad. Ser. A Math. Sci. 62 (1986), 125-128. Zbl0583.30016
- Sălăgean, G. S., Subclasses of univalent functions, Complex analysis - fifth Romanian-Finnish seminar, Part 1 (Bucharest, 1981), 362-372, Lecture Notes in Math., 1013, Springer, Berlin, 1983.
- Srivastava, H. M., Owa, S. (Editors), Current Topics in Analytic Function Theory, World Scientific Publishing Company, Singapore, 1992. Zbl0976.00007

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