Displaying similar documents to “The radius of p-valent starlikeness for certain classes of analytic functions”

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

M. Aouf, A. Shamandy, A. Mostafa, S. Madian (2010)

Annales UMCS, Mathematica

Similarity:

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.

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 (2011)

Annales UMCS, Mathematica

Similarity:

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.

Inclusion properties of certain subclass of analytic functions defined by multiplier transformations

Mohamed Aouf, Rabha El-Ashwah (2009)

Annales UMCS, Mathematica

Similarity:

Let A denote the class of analytic functions with normalization [...] in the open unit disk [...] Set [...] and define [...] in terms of the Hadamard product [...] In this paper, we introduce several new subclasses of analytic functions defined by means of the operator [...] [...] .Inclusion properties of these classes and the classes involving the generalized Libera integral operator are also considered.

On differential sandwich theorems of analytic functions defined by certain linear operator

Mohamed Aouf, Tamer Seoudy (2010)

Annales UMCS, Mathematica

Similarity:

In this paper, we obtain some applications of first order differential subordination and superordination results involving certain linear operator and other linear operators for certain normalized analytic functions. Some of our results improve and generalize previously known results.

On differential sandwich theorems of analytic functions defined by certain linear operator

Mohamed K. Aouf, Tamer M. Seoudy (2010)

Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica

Similarity:

In this paper, we obtain some applications of first order differential subordination and superordination results involving certain linear operator and other linear operators for certain normalized analytic functions. Some of our results improve and generalize previously known results.