Integration of Monomials over the Unit Sphere and Unit Ball in Rn

We compute the integral of monomials of the form x2β over the unit sphere and the unit ball in Rn where β = (β1, . . . , βn) is a multi–index with real components βk > −1/2, 1 ≤ k ≤ n, and discuss their asymptotic behavior as some, or all, βk → ∞. This allows for the evaluation of integrals invol...

Full description

Saved in:
Bibliographic Details
Main Authors: Calixto P. Calderón, Alberto Torchinsky
Format: Article
Language:Spanish
Published: Universidad Nacional de Trujillo 2025-07-01
Series:Selecciones Matemáticas
Subjects:
Online Access:https://revistas.unitru.edu.pe/index.php/SSMM/article/view/6616
Tags: Add Tag
No Tags, Be the first to tag this record!