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.
Error analysis of Gauss quadrature approximation to hypergeometric functions / Denich, E., Novati, P.. - In: BIT. - ISSN 0006-3835. - 65:4(2025), pp. 44.--44.-. [10.1007/s10543-025-01087-4]
Error analysis of Gauss quadrature approximation to hypergeometric functions
Eleonora Denich
Primo
;Paolo NovatiUltimo
2025-01-01
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.File in questo prodotto:
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