 Dirichlet Green function for an infinite strip

ID: dirichlet-green-function-for-an-infinite-strip

R \times (0, a)

, separation into sine modes gives the Dirichlet Green function for the Laplacian

G (x, y; b, c) = - \frac{1}{π} \sum_{n = 1}^{\infty} \frac{e ^{- nπ ∣ x - b ∣/ a}}{n} sin \frac{nπ y}{a} sin \frac{nπ c}{a} .

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