Integral transforms of functions with restricted derivatives

Johnny E. Brown

Displaying similar documents to “Integral transforms of functions with restricted derivatives”

On Some Generalizations of Classical Integral Transforms

Virchenko, Nina (2012)

Mathematica Balkanica New Series

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MSC 2010: 44A15, 44A20, 33C60 Using the generalized confluent hypergeometric function [6] some new integral transforms are introduced. They are generalizations of some classical integral transforms, such as the Laplace, Stieltjes, Widder-potential, Glasser etc. integral transforms. The basic properties of these generalized integral transforms and their inversion formulas are obtained. Some examples are also given.

A relation between Laplace and Stieltjes transforms of two variables

N. C. Jain (1970)

Annales Polonici Mathematici

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Certain theorems on Meijer transform

B. S. Tavathia (1967)

Matematički Vesnik

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On an integro-differential equation

J. Szarski (1964)

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Recent developments on the Stieltjes transform of generalized functions.

Pathak, Ram Shankar, Debnath, Lokenath (1987)

International Journal of Mathematics and Mathematical Sciences

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On an integral transform and self-reciprocal functions involving two complex variables

R. U. Verma (1969)

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Some extensions of a certain integral transform to a quotient space of generalized functions

Shrideh K.Q. Al-Omari, Jafar F. Al-Omari (2015)

Open Mathematics

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In this paper, we establish certain spaces of generalized functions for a class of ɛs2,1 transforms. We give the definition and derive certain properties of the extended ɛs2,1 transform in a context of Boehmian spaces. The extended ɛs2,1 transform is therefore well defined, linear and consistent with the classical ɛs2,1 transforms. Certain results are also established in some detail.