An algebraic approach to Lidstone polynomials |
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Institution: | Department of Mathematics, University of Calabria, 87036 Rende (CS), Italy |
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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. Edinb. Math. Soc. 2 (2) (1929) 16–19] is proposed; this is a Hessemberg determinantal form. The algebraic approach provides an elementary proof of the main recursive properties of Lidstone polynomials. |
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