Schläfli contour integral for Legendre polynomials

For a contour enclosing

t

,

P_{n} (t) = \frac{1}{2 ^{n + 1} πi} \oint \frac{( z ^{2} - 1 ) ^{n}}{( z - t ) ^{n + 1}} d z .

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Past exam of the mathematics course of the University of Cambridge / 2025 / ii / Paper 3 / 30D / b / i / Solution
Past exam of the mathematics course of the University of Cambridge / 2026 / iii / Paper 336 / 1 / 1 / Solution

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