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

Semyon B. Yakubovich; Yurii F. Luchko

Extracta Mathematicae (1991)

- Volume: 6, Issue: 2-3, page 119-122
- ISSN: 0213-8743

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topYakubovich, 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 -

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