Moments of Complex B-Splines

P. Massopust

doi:cma/1331929871

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Home > Journals > Commun. Math. Anal. > Volume 12 > Issue 2 > Article

2012 Moments of Complex B-Splines

P. Massopust

Commun. Math. Anal. 12(2): 58-70 (2012).

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Abstract

A relation between double Dirichlet averages and multivariate complex B-splines is presented. Based on this relationship, a formula for the computation of certain moments of multivariate complex B-splines is derived. In addition, an infinite-dimensional analogue of the Lauricella function $F_B$ is defined and a relation to the moments of multivariate complex B-splines is presented.

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P. Massopust. "Moments of Complex B-Splines." Commun. Math. Anal. 12 (2) 58 - 70, 2012.

Information

Published: 2012

First available in Project Euclid: 16 March 2012

zbMATH: 1263.41004

MathSciNet: MR2905131

Subjects:

Primary: 26A33 , 33C65 , 41A15 , 41A63

Keywords: $R$hypergeometric function , Appell functions , Complex B-spline , Dirichlet average , Lauricella functions , moments , Weyl fractional derivative and integral operator