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Accurate polynomial interpolations of special functions

2006/06/15 by Claude Semay, Semay, C.
Mathematics · #Computational Physics (physics.comp-ph) #FOS: Physical sciences #Iterative Methods for Nonlinear Equations #Mathematical functions and polynomials #Numerical methods for differential equations

paper · pdf · doi:10.48550/arxiv.physics/0606134

openalex publication_date 2006/06/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Provided a special function of one variable and some of its derivatives can be accurately computed over a finite range, a method is presented to build a series of polynomial approximations of the function with a defined relative error over the whole range. This method is easy to implement and makes possible fast computation of special functions.

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