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Displaying similar documents to “Some new inclusion and neighborhood properties for certain multivalent function classes associated with the convolution structure.”

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.

Differential sandwich theorems for multivalent functions

O. Ahuja, G. Murugusundaramoorthy, S. Sivasubramanian (2008)

Annales UMCS, Mathematica

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In the present paper, we apply methods based on differential subordinations and superordinations in order to derive several subordination results for multivalent functions involving the Hadamard product.