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Polynomials with respect to a general basis. I. Theory

✍ Scribed by John Maroulas; Stephen Barnett


Publisher
Elsevier Science
Year
1979
Tongue
English
Weight
571 KB
Volume
72
Category
Article
ISSN
0022-247X

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Decomposition of Polynomials with Respec
✍ A. Ronveaux; A. Zarzo; I. Area; E. Godoy πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 282 KB

Given a polynomial solution of a differential equation, its m-ary decomposition, i.e. its decomposition as a sum of m polynomials P [j] (x) = k Ξ± j,k x Ξ» j,k containing only exponents Ξ» j,k with Ξ» j,k+1 -Ξ» j,k = m, is considered. A general algorithm is proposed in order to build holonomic equations