Error analysis of Gauss quadrature approximation to hypergeometric functions
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.
Institutions
- University of Trieste (IT)
Publication Details
- Journal
- BIT Numerical Mathematics
- Published
- 2025-10-27
- DOI
- https://doi.org/10.1007/s10543-025-01087-4
- Primary Topic
- Mathematical functions and polynomials
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Istituto Nazionale di Alta Matematica "Francesco Severi"
- Regione Autonoma Friuli Venezia Giulia
- Gruppo Nazionale per il Calcolo Scientifico