The generalizations of integral analog of the Leibniz rule on the G-convolutions.

Yakubovich, Semyon B., and Luchko, Yurii F.. "The generalizations of integral analog of the Leibniz rule on the G-convolutions.." Extracta Mathematicae 6.2-3 (1991): 119-122. <http://eudml.org/doc/39930>.

@article{Yakubovich1991,
abstract = {An integral analog of the Leibniz rule for the operators of fractional calculus was considered in paper [1]. These operators are known to belong to the class of convolution transforms [2]. It seems very natural to try to obtain some new integral analog of the Leibniz rule for other convolution operators. We have found a general method for constructing such integral analogs on the base of notion of G-convolution [4]. Several results obtained by this method are represented in this article.},
author = {Yakubovich, Semyon B., Luchko, Yurii F.},
journal = {Extracta Mathematicae},
keywords = {Transformadas integrales; Transformada de Laplace; Regla de Leibniz; Convolución; Integrales fraccionarias; convolution; G transform; Leibniz rule; summation formulas; inverse Mellin transforms},
language = {eng},
number = {2-3},
pages = {119-122},
title = {The generalizations of integral analog of the Leibniz rule on the G-convolutions.},
url = {http://eudml.org/doc/39930},
volume = {6},
year = {1991},
}

TY - JOUR
AU - Yakubovich, Semyon B.
AU - Luchko, Yurii F.
TI - The generalizations of integral analog of the Leibniz rule on the G-convolutions.
JO - Extracta Mathematicae
PY - 1991
VL - 6
IS - 2-3
SP - 119
EP - 122
AB - An integral analog of the Leibniz rule for the operators of fractional calculus was considered in paper [1]. These operators are known to belong to the class of convolution transforms [2]. It seems very natural to try to obtain some new integral analog of the Leibniz rule for other convolution operators. We have found a general method for constructing such integral analogs on the base of notion of G-convolution [4]. Several results obtained by this method are represented in this article.
LA - eng
KW - Transformadas integrales; Transformada de Laplace; Regla de Leibniz; Convolución; Integrales fraccionarias; convolution; G transform; Leibniz rule; summation formulas; inverse Mellin transforms
UR - http://eudml.org/doc/39930
ER -