A note on the convolution in the Mellin sense with generalized functions.
Kilicman, Adem, Kamel Ariffin, Muhammad Rezal (2002)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Displaying similar documents to “The well-behaved Catalan and Brownian averages and their applications to real resummation.”
A note on the convolution in the Mellin sense with generalized functions.
On the stability by convolution product of a resurgent algebra
Yafei Ou (2010)
Annales de la faculté des sciences de Toulouse Mathématiques
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We consider the space of holomorphic functions at the origin which extend analytically on the universal covering of , . We show that this space is stable by convolution product, thus is a resurgent algebra.
On a generalization of the convolution
E. Gesztelyi (1970)
Annales Polonici Mathematici
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Convolution equations in the space of Laplace distributions
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.
Resurgence relations for classes of differential and difference equations
Boele Braaksma, Robert Kuik (2004)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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A certain integral-recurrence equation with discrete-continuous auto-convolution
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.
The arborification-coarborification transform : analytic, combinatorial, and algebraic aspects
Jean Ecalle, Bruno Vallet (2004)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Convolution in Colombeau's spaces of generalized functions. II: The convolution in .
Nedeljkov, M., Pilipović, S. (1992)
Publications de l'Institut Mathématique. Nouvelle Série
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On the order of convolution consistence of the analytic functions with negative coefficients
Grigore S. Sălăgean, Adela Venter (2017)
Mathematica Bohemica
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Making use of a modified Hadamard product, or convolution, of analytic functions with negative coefficients, combined with an integral operator, we study when a given analytic function is in a given class. Following an idea of U. Bednarz and J. Sokół, we define the order of convolution consistence of three classes of functions and determine a given analytic function for certain classes of analytic functions with negative coefficients.