# On Some Generalizations of Classical Integral Transforms

Mathematica Balkanica New Series (2012)

- Volume: 26, Issue: 1-2, page 257-264
- ISSN: 0205-3217

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topVirchenko, Nina. "On Some Generalizations of Classical Integral Transforms." Mathematica Balkanica New Series 26.1-2 (2012): 257-264. <http://eudml.org/doc/281357>.

@article{Virchenko2012,

abstract = {MSC 2010: 44A15, 44A20, 33C60Using 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.},

author = {Virchenko, Nina},

journal = {Mathematica Balkanica New Series},

keywords = {classical integral transforms; generalized integral transforms; generalized confluent hypergeometric function; Laplace integral transforms; Stieltjes integral transforms; Widder-potential integral transforms; Glasser integral transforms; inversion formulas},

language = {eng},

number = {1-2},

pages = {257-264},

publisher = {Bulgarian Academy of Sciences - National Committee for Mathematics},

title = {On Some Generalizations of Classical Integral Transforms},

url = {http://eudml.org/doc/281357},

volume = {26},

year = {2012},

}

TY - JOUR

AU - Virchenko, Nina

TI - On Some Generalizations of Classical Integral Transforms

JO - Mathematica Balkanica New Series

PY - 2012

PB - Bulgarian Academy of Sciences - National Committee for Mathematics

VL - 26

IS - 1-2

SP - 257

EP - 264

AB - MSC 2010: 44A15, 44A20, 33C60Using 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.

LA - eng

KW - classical integral transforms; generalized integral transforms; generalized confluent hypergeometric function; Laplace integral transforms; Stieltjes integral transforms; Widder-potential integral transforms; Glasser integral transforms; inversion formulas

UR - http://eudml.org/doc/281357

ER -

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