Results 51 to 60 of about 228,694 (166)
Gevrey multiscale expansions of singular solutions of PDEs with cubic nonlinearity
Electronic Journal of Differential Equations, 2018 We study a singularly perturbed PDE with cubic nonlinearity depending on a complex perturbation parameter $\epsilon$. This is a continuation of the precedent work [22] by the first author.
Alberto Lastra, Stephane Malek
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On morphically generated formal power series [PDF]
RAIRO - Theoretical Informatics and Applications, 1995 Summary: We define morphically generated formal power series and study their properties.These series are obtained by interpreting various \(L\) systems as mechanisms to generate power series. The well-known classes of rational and algebraic power series are obtained as a special case.
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A pedagogical remark on the main theorem of perturbative renormalization theory
Nuclear Physics B, 2016 In this note, it is proven that, given two perturbative constructions of time-ordered products via the Bogoliubov-Epstein-Glaser recursion, both sets of coupling functions are related by a local formal power series, recursively determined by causality.
G. Popineau, R. Stora
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The plethystic inverse of a formal power series
Discrete Mathematics, 1995 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Trigonometric integrals evaluated in terms of Riemann zeta and Dirichlet beta functions
Open MathematicsThree classes of trigonometric integrals involving an integer parameter are evaluated by the contour integration and the residue theorem. The resulting formulae are expressed in terms of Riemann zeta function and Dirichlet beta function.
Li Jing, Chu Wenchang
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On Parametric Gevrey Asymptotics for Some Cauchy Problems in Quasiperiodic Function Spaces
Abstract and Applied Analysis, 2014 We investigate Gevrey asymptotics for solutions to nonlinear parameter depending Cauchy problems with 2π-periodic coefficients, for initial data living in a space of quasiperiodic functions. By means of the Borel-Laplace summation procedure, we construct
A. Lastra, S. Malek
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On Magnus' Freiheitssatz and free polynomial algebras [PDF]
International Journal of Group Theory, 2015 The Freiheitssatz of Magnus for one-relator groups is one of the cornerstones of combinatorial group theory. In this short note which is mostly expository we discuss the relationship between the Freiheitssatz and corre- sponding results in free power ...
Benjamin Fine +2 more
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Analytic Erdös-Turán conjectures and Erdös-Fuchs theorem
International Journal of Mathematics and Mathematical Sciences, 2005 We consider and study formal power series, that we call supported series, with real coefficients which are either zero or bounded below by some positive constant.
L. Haddad, C. Helou, J. Pihko
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Karpatsʹkì Matematičnì Publìkacìï, 2009 In this paper we consider the multidimensional $g$-fraction withnonequivalent variables which is the generalization of thecontinued $g$-fraction. The correspondence between the formalmultiple power series and the above mentioned fraction isstudied.
R. I. Dmytryshyn
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The algebraic characterizations for a formal power series over complete strong bimonoids. [PDF]
Springerplus, 2016 Jin JH, Li CQ.
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