Three-term recurrence relations for systems of Clifford algebra-valued orthogonal polynomials
| Autor: | Isabel Cação, Maria Irene Falcão, Helmuth R. Malonek |
|---|---|
| Přispěvatelé: | Universidade do Minho |
| Jazyk: | angličtina |
| Rok vydání: | 2017 |
| Předmět: |
recurrence relations
Recurrence relation Science & Technology Generalized Appell polynomials Applied Mathematics 010102 general mathematics Clifford algebra 010103 numerical & computational mathematics Clifford analysis Term (logic) generalized Appell polynomials 01 natural sciences language.human_language Algebra Clifford Analysis Orthogonal polynomials language Center (algebra and category theory) 0101 mathematics Portuguese Ciências Naturais::Matemáticas Mathematics Matemáticas [Ciências Naturais] |
| Zdroj: | Repositório Científico de Acesso Aberto de Portugal Repositório Científico de Acesso Aberto de Portugal (RCAAP) instacron:RCAAP |
| Popis: | Recently, systems of Clifford algebra-valued orthogonal polynomials have been studied from different points of view. We prove in this paper that for their building blocks there exist some three-term recurrence relations, similar to that for orthogonal polynomials of one real variable. As a surprising byproduct of own interest we found out that the whole construction process of Clifford algebra-valued orthogonal polynomials via Gelfand-Tsetlin basis or otherwise relies only on one and the same basic Appell sequence of polynomials. This work was supported by Portuguese funds through the CIDMA - Center for Research and Development in Mathematics and Applications of the University of Aveiro, the CMAT - Research Centre of Mathematics of the University of Minho and the FCT - Portuguese Foundation for Science and Technology (“Fundação para a Ciˆencia e a Tecnologia”), within projects PEst-OE/MAT/UI4106/2014 and PEst-OE/MAT/UI0013/2014. info:eu-repo/semantics/publishedVersion |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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