Displaying similar documents to “Inclusion properties of certain subclasses of analytic functions defined by generalized Sălăgean operator”

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

Mohamed Aouf, Rabha El-Ashwah (2009)

Annales UMCS, Mathematica

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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

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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.

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.

On certain subclasses of analytic functions associated with the Carlson–Shaffer operator

Jagannath Patel, Ashok Kumar Sahoo (2015)

Annales UMCS, Mathematica

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The object of the present paper is to solve Fekete-Szegö problem and determine the sharp tipper bound to the second Hankel determinant for a certain class ℛλ(a, c, A, B) of analytic functions in the unit disk. We also investigate several majorization properties for functions belonging to a subclass ℛλ(a, c, A, B) of ℛλ(a,c, A, B) and related function classes. Relevant connections of the main results obtained here with those given by earlier workers on the subject are pointed out. ...

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

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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.

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.