Results 1 to 10 of about 210,142 (295)

On transformations of formal power series

Information and Computation, 2003
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Manfred Droste, Guo-Qiang Zhang
exaly   +3 more sources

An Invitation to Formal Power Series

Deutsche Mathematiker Vereinigung Jahresbericht, 2022
AbstractThis is an account on the theory of formal power series developed entirely without any analytic machinery. Combining ideas from various authors we are able to prove Newton’s binomial theorem, Jacobi’s triple product, the Rogers–Ramanujan identities and many other prominent results. We apply these methods to derive several combinatorial theorems
Benjamin Sambale
exaly   +5 more sources

On quotients of formal power series [PDF]

Information and Computation, 2022
48 pages, 3 figures, 30 ...
Yongming Li 0001, Qian Wang, Sanjiang Li
openaire   +5 more sources

Umbral Theory and the Algebra of Formal Power Series

Axioms
Umbral theory, formulated in its modern version by S. Roman and G. C. Rota, has been reconsidered in more recent times by G. Dattoli and collaborators with the aim of devising a working computational tool in the framework of special function theory ...
Roberto Ricci
doaj   +3 more sources

Approximation of functions of several variables by multidimensional $S$-fractions with independent variables

Karpatsʹkì Matematičnì Publìkacìï, 2021
The paper deals with the problem of approximation of functions of several variables by branched continued fractions. We study the correspondence between formal multiple power series and the so-called "multidimensional $S$-fraction with independent ...
R.I. Dmytryshyn, S.V. Sharyn
doaj   +1 more source

Cramer's rule for implicit linear differential equations over a non-Archimedean ring

Visnik Harkivsʹkogo Nacionalʹnogo Universitetu im. V.N. Karazina. Cepiâ Matematika, Prikladna Matematika i Mehanika, 2022
We consider a linear nonhomogeneous $m$-th order differential equation in a ring of formal power series with coefficients from some field of characteristic zero.
A. Goncharuk
doaj   +1 more source

On the R-automorphisms of formal power series on several indeterminates and with coefficients over the ring R

Selecciones Matemáticas, 2022
In this paper, we show a way to characterize the R-automorphisms of formal power series on several indeterminates and with coefficients over a commutative ring with identity, R.
Soledad Ramírez C., Anderson Cárdenas F.   +1 more
doaj   +1 more source

Weighted Logics for Nested Words and Algebraic Formal Power Series [PDF]

Logical Methods in Computer Science, 2010
Nested words, a model for recursive programs proposed by Alur and Madhusudan, have recently gained much interest. In this paper we introduce quantitative extensions and study nested word series which assign to nested words elements of a semiring. We show
Christian Mathissen
doaj   +1 more source

INVESTIGATION OF STURM-LIOUVILLE PROBLEM SOLVABILITY IN THE PROCESS OF ASYMPTOTIC SERIES CREATION [PDF]

Научно-технический вестник информационных технологий, механики и оптики, 2015
Subject of Research. Creation of asymptotic expansions for solutions of partial differential equations with small parameter reduces, usually, to consequent solving of the Sturm-Liouville problems chain.
A. I. Popov
doaj   +1 more source

Endo-Noetherian Skew Generalized Power Series Rings [PDF]

Assiut University Journal of Multidisciplinary Scientific Research, 2023
Endo-Noetherian modules were introduced by A. Kaidi and E. Sanchez] as a generalization of Noetherian modules. A left Ɍ-module M which satisfies the ascending chain condition for endomorphic kernels is said to be endo-Noetherian.
Ramy Abdel-Khaleq, Refaat Salem, Neamat Mohamed   +2 more
doaj   +1 more source