Work

Error analysis of Gauss quadrature approximation to hypergeometric functions

Year: 2025

Type: article

Abstract: Exploiting the contour integral representation of the remainder term in Gaussian quadrature, in this work we derive explicit error approximations for the computation of the confluent and the Gauss hypergeometric functions by means of the Gauss-Jacobi rule. Some numerical examples illustrate the quality of the estimates.

Source: BIT Numerical Mathematics

DOI: 10.1007/s10543-025-01087-4

Authors: Eleonora Denich, Paolo Novati

Institution: University of Trieste

Language: English

Topic: Mathematical functions and polynomials

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

Funders: Istituto Nazionale di Alta Matematica "Francesco Severi", Regione Autonoma Friuli Venezia Giulia, Università degli Studi di Trieste, Gruppo Nazionale per il Calcolo Scientifico