Computation of the Schläfli function

2024/01/21 by Andrey A. Shoom, Shoom, Andrey A. · 1 citation
Computer Science · Mathematics · #Classical Analysis and ODEs (math.CA) #Digital Filter Design and Implementation #FOS: Mathematics #Mathematical functions and polynomials #Metric Geometry (math.MG) #Number Theory (math.NT) #Numerical Methods and Algorithms

paper · pdf · doi:10.48550/arxiv.2401.11517

openalex publication_date 2024/01/21 · openalex created_date 2024/01/24 · openalex updated_date 2026/07/28

Abstract

In this work a method for numerical computation of the Schläfli function f_n(x), for x∈[n-1,n+1] and n≥4 is presented. The computation is based on the Chebyshev approximation of the function q_n(x), which is related to the Schläfli function and regular in the interval.

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