Displaying similar documents to “On differential sandwich theorems of analytic functions defined by certain linear operator”

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.

Differential sandwich theorems for analytic functions defined by some linear operators

M. Aouf, A. Mostafa, R. El-Ashwah (2008)

Annales UMCS, Mathematica

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In this investigation, we obtain some applications of first order differential subordination and superordination results involving Dziok-Srivastava operator and other linear operators for certain normalized analytic functions. Some of our results improve previous results.

A note on composition operators on spaces of real analytic functions

Paweł Domański, Michał Goliński, Michael Langenbruch (2012)

Annales Polonici Mathematici

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We characterize composition operators on spaces of real analytic functions which are open onto their images. We give an example of a semiproper map φ such that the associated composition operator is not open onto its image.

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.

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.