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Moments of Dirichlet splines and their applications to hypergeometric functions

Edward Neuman, Patrick J. Van Fleet

math.CAarXiv:math/9310222

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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