Numerical computation of Fox functions
Giampiero Passarino (Turin U., INFN, Turin)
TL;DR
This paper explores numerical techniques for computing Fox functions, which are used in representing Feynman integrals, using methods like Sinc and Quasi-Monte Carlo for improved accuracy.
Contribution
It introduces specific numerical approaches for Fox functions, enhancing computational methods for Feynman integrals.
Findings
Demonstrates effectiveness of Sinc methods in Fox function computation
Shows Quasi-Monte Carlo methods improve accuracy and efficiency
Provides illustrative examples for practical implementation
Abstract
In this work we discuss techniques for the numerical computation of Fox functions that represent Feynman integrals. Illustrative examples based on Sinc numerical methods and Quasi-Monte Carlo methods are given
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Taxonomy
TopicsMathematical Approximation and Integration · Mathematical functions and polynomials · Advanced Mathematical Theories and Applications