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Q64Section II (Mathematics)64 of 145

Abel's equation: the kernel (t−s)−1/2(t-s)^{-1/2} inverts to x=2tx=2\sqrt t

The solution of the singular integral equation πt=∫0t1t−sx(s) ds\pi t=\displaystyle\int_0^t\frac1{\sqrt{t-s}}x(s)\,ds is:

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