Moments of Dirichlet splines and their applications to hypergeometric functions

Mathematics – Classical Analysis and ODEs

Scientific paper

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Scientific paper

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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