Moments of Dirichlet splines and their applications to hypergeometric functions
Classical Analysis and ODEs
2025-10-20 v1 Numerical Analysis
Numerical Analysis
Abstract
Dirichlet averages of multivariate functions are employed for a derivation of basic recurrence formulas for the moments of multivariate Dirichlet splines. An algorithm for computing the moments of multivariate simplex splines is presented. Applications to hypergeometric functions of several variables are discussed.
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Cite
@article{arxiv.math/9310222,
title = {Moments of Dirichlet splines and their applications to hypergeometric functions},
author = {Edward Neuman and Patrick J. Van Fleet},
journal= {arXiv preprint arXiv:math/9310222},
year = {2025}
}