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...
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Main Authors: | Calixto P. Calderón, Alberto Torchinsky |
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Format: | Article |
Language: | Spanish |
Published: |
Universidad Nacional de Trujillo
2025-07-01
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Series: | Selecciones Matemáticas |
Subjects: | |
Online Access: | https://revistas.unitru.edu.pe/index.php/SSMM/article/view/6616 |
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