Displaying similar documents to “ Inclusion and neighborhood properties of certain subclasses of p -valent functions of complex order defined by convolution ”

On the order of convolution consistence of the analytic functions with negative coefficients

Grigore S. Sălăgean, Adela Venter (2017)

Mathematica Bohemica

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Making use of a modified Hadamard product, or convolution, of analytic functions with negative coefficients, combined with an integral operator, we study when a given analytic function is in a given class. Following an idea of U. Bednarz and J. Sokół, we define the order of convolution consistence of three classes of functions and determine a given analytic function for certain classes of analytic functions with negative coefficients.

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

Mohamed Aouf, Tamer Seoudy (2010)

Annales UMCS, Mathematica

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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.

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

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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.

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

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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.

A subordination results for a class of analytic functions defined by q-differential operator

Basem Aref Frasin, Gangadharan Murugusundaramoorthy (2020)

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

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In this paper, we derive several subordination results and integral means result for certain class of analytic functions defined by means of q-differential operator. Some interesting corollaries and consequences of our results are also considered.