On polynomials hypoelliptic with respect to a group of variables
β Scribed by Margaryan, V. N.
- Book ID
- 125482639
- Publisher
- Allerton Press, Inc.
- Year
- 2014
- Tongue
- English
- Weight
- 540 KB
- Volume
- 49
- Category
- Article
- ISSN
- 1068-3623
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π SIMILAR VOLUMES
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
Let n be an arbitrary positive integer, We decompose the Laguerre polynomials L(m ~) as the sum of n polynomials L~'"'k); mE~; k=O, 1 ..... n-1; defined by In this paper, we establish the close relation between these components and the Brafman polynomials. The use of a technique described in an ear