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## Exact integration for products of power of barycentric coordinates over $d$-simplexes in $R^n$

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Francois Cuvelier
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#### Résumé

Exact integral computation over a d-simplex in R n for products of powers of its barycentric coordinates is done in [9] by using mathematical induction and coordinate mappings. In this note we give a new proof using Laplace transformations without mathematical induction.

#### Domaines

Mathématiques [math] Analyse numérique [math.NA]

### Dates et versions

hal-01816347 , version 1 (15-06-2018)

### Identifiants

• HAL Id : hal-01816347 , version 1

### Citer

Francois Cuvelier. Exact integration for products of power of barycentric coordinates over $d$-simplexes in $R^n$. 2018. ⟨hal-01816347⟩

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