The orthogonal polynomials and the Pade' approximation (original) (raw)

Applied Mathematics and Mechanics, 1998

Faiz Ahmad

Abstract

Abstract The diagnonal Pade'approximates for exp (x), tanx and tanhx are obtained in a simple manner by using the property of Legendre polynomials that on [− 1, 1] P n (x) is orthogonal to every polynomial of lower degree. Gauss's quadrature formula is used to ...

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