On generalized Pascu class of functions

V. Anbuchelvi; S. Radha

Displaying similar documents to “On generalized Pascu class of functions”

The sharp version of a criterion for starlikeness related to the operator of Alexander

Róbert Szász (2008)

Annales Polonici Mathematici

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The method of convolution is used to determine a sharp condition for starlikeness of analytic functions defined in the unit disc U = {z ∈ ℂ: |z| < 1} and having the property f(0) = f'(0) - 1 = 0. The integral version is given using the Alexander integral operator.

On a convolution type integral I

S. R. Yadava (1972)

Matematički Vesnik

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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.

The Neutrix Convolution Product x -r,- ○ x μ,+

Brian Fisher, Emin Özcag (1991)

Publications de l'Institut Mathématique

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A class of analytic functions defined by using Hadamard product

S. Owa (1986)

Matematički Vesnik

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A numerical constant associated with generalized convolutions

Kazimierz Urbanik (1987)

Colloquium Mathematicum

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Convolution in Colombeau's spaces of generalized functions. II: The convolution in $𝒢_{a}$ .

Nedeljkov, M., Pilipović, S. (1992)

Publications de l'Institut Mathématique. Nouvelle Série

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Decomposability of point measures in generalized convolution algebras

J. Kucharczak (1988)

Colloquium Mathematicae

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A characterization of α-convolutions

J. Kucharczak (1973)

Colloquium Mathematicae

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A characterization of a class of convolutions

Kazimierz Urbanik (1967)

Colloquium Mathematicum

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A limit theorem for the q-convolution

Anna Kula (2011)

Banach Center Publications

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The q-convolution is a measure-preserving transformation which originates from non-commutative probability, but can also be treated as a one-parameter deformation of the classical convolution. We show that its commutative aspect is further certified by the fact that the q-convolution satisfies all of the conditions of the generalized convolution (in the sense of Urbanik). The last condition of Urbanik's definition, the law of large numbers, is the crucial part to be proved and the non-commutative...