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Polynomial filtering - 1

Norman E. Morrison

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Abstract

The polynomial filters are based on the orthogonal polynomials of Legendre and Laguerre. Orthogonal polynomials are widely used in applied mathematics, physics and engineering, and the Legendre and Laguerre polynomials are only two of infinitely many sets, each of which has its own weight function.

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What this paper is about

The polynomial filters are based on the orthogonal polynomials of Legendre and Laguerre. Orthogonal polynomials are widely used in applied mathematics, physics and engineering, and the Legendre and Laguerre polynomials are only two of infinitely many sets, each of which has its own weight function.

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Available abstract

The polynomial filters are based on the orthogonal polynomials of Legendre and Laguerre. Orthogonal polynomials are widely used in applied mathematics, physics and engineering, and the Legendre and Laguerre polynomials are only two of infinitely many sets, each of which has its own weight function.

Key concepts: Laguerre polynomials, Legendre polynomials, Orthogonal polynomials, Mathematics, Classical orthogonal polynomials, Gegenbauer polynomials, Weight function, Discrete orthogonal polynomials

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