Displaying similar documents to “Smith normal form of a matrix of generalized polynomials with rational exponents”

Rational functions without poles in a compact set

W. Kucharz (2006)

Colloquium Mathematicae

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Let X be an irreducible nonsingular complex algebraic set and let K be a compact subset of X. We study algebraic properties of the ring of rational functions on X without poles in K. We give simple necessary conditions for this ring to be a regular ring or a unique factorization domain.

Introduction

Pascale Roesch (2012)

Annales de la faculté des sciences de Toulouse Mathématiques

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An intoduction to formal orthogonality and some of its applications.

Claude Brezinski (2002)

RACSAM

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This paper is an introduction to formal orthogonal polynomials and their application to Padé approximation, Krylov subspace methods for the solution of systems of linear equations, and convergence acceleration methods. Some more general formal orthogonal polynomials, and the concept of biorthogonality and its applications are also discussed.

Multiplication formulas for q-Appell polynomials and the multiple q-power sums

Thomas Ernst (2016)

Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica

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In the first article on q-analogues of two Appell polynomials, the generalized Apostol-Bernoulli  and Apostol-Euler  polynomials, focus was on generalizations, symmetries, and complementary argument theorems. In this second article, we focus on a recent paper by Luo, and one paper on power sums by Wang and Wang. Most of the proofs are made by using generating functions, and the (multiple) q-addition plays a fundamental role. The introduction of the q-rational numbers in formulas with...