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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 involvin...

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Bibliografiska uppgifter
Huvudupphov: Calixto P. Calderón, Alberto Torchinsky
Materialtyp: Artigo
Språk:Inglês
Utgiven: Universidad Nacional de Trujillo 2025-07-01
Serie:Selecciones Matemáticas
Ämnen:
Länkar:https://revistas.unitru.edu.pe/index.php/SSMM/article/view/6616
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