Moments of Dirichlet splines and their applications to hypergeometric functions

1993/10/05 by Edward Neuman, Neuman, Edward, Patrick J. Van Fleet +1
Engineering · Mathematics · #Advanced Numerical Analysis Techniques #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical functions and polynomials #Numerical Analysis (math.NA) #Statistical and numerical algorithms

paper · pdf · doi:10.48550/arxiv.math/9310222

openalex publication_date 1993/10/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Multivariate splines: A probabilistic perspective

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