On a generalization of the convolution
E. Gesztelyi (1970)
Annales Polonici Mathematici
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E. Gesztelyi (1970)
Annales Polonici Mathematici
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Semyon B. Yakubovich, Yurii F. Luchko (1991)
Extracta Mathematicae
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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. ...
Kilicman, Adem, Kamel Ariffin, Muhammad Rezal (2002)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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J. Betancor, B. González (1995)
Studia Mathematica
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We investigate the Hankel transformation and the Hankel convolution on new spaces of generalized functions.
Nedeljkov, M., Pilipović, S. (1992)
Publications de l'Institut Mathématique. Nouvelle Série
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Mircea I. Cîrnu (2011)
Archivum Mathematicum
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Laplace transform and some of the author’s previous results about first order differential-recurrence equations with discrete auto-convolution are used to solve a new type of non-linear quadratic integral equation. This paper continues the author’s work from other articles in which are considered and solved new types of algebraic-differential or integral equations.
Maria E. Pliś (1998)
Annales Polonici Mathematici
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A formal solution of a nonlinear equation P(D)u = g(u) in 2 variables is constructed using the Laplace transformation and a convolution equation. We assume some conditions on the characteristic set Char P.
Yakubovich, S.B., Kalla, Shyam L. (1993)
International Journal of Mathematics and Mathematical Sciences
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W. Duke, H. Iwaniec (1994)
Compositio Mathematica
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S. R. Yadava (1972)
Matematički Vesnik
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