On Some Generalizations of Classical Integral Transforms

Virchenko, 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 -