A new definition of Lidstone polynomials [G. L. Lidstone, Note on the extension of Aitken’s theorem (for polynomial interpolation) to the Everett types, Proc. Edinburgh Math. Soc. 2 (2) 16-19 (1929)] is proposed; this is a Hessemberg determinantal form. The algebraic approach provides an elementary proof of the main recursive properties of Lidstone polynomials.
An Algebraic Approach to Lidstone Polynomials
SERPE, Annarosa;
2007-01-01
Abstract
A new definition of Lidstone polynomials [G. L. Lidstone, Note on the extension of Aitken’s theorem (for polynomial interpolation) to the Everett types, Proc. Edinburgh Math. Soc. 2 (2) 16-19 (1929)] is proposed; this is a Hessemberg determinantal form. The algebraic approach provides an elementary proof of the main recursive properties of Lidstone polynomials.File in questo prodotto:
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