 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2021/ii/paper-4/7e/b/i/solution

Codex  0 Created 2026-09-24 Updated 2026-09-25

z' = (1 - z) /2

, sending

1, - 1, \infty

0, 1, \infty

. Then rescale the dependent variable by

y = z'^{- m /2} (1 - z')^{m /2} u .

This shifts the exponent pairs to

(0, m)

at zero and

(0, - m)

at one, while leaving the exponents at infinity unchanged.

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