 Real integral representation of the modified Bessel function I0

ID: real-integral-representation-of-the-modified-bessel-function-i0

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

The normalized order-zero function has the representation

I_{0} (z) = \frac{1}{π} \int_{- 1}^{1} \frac{e ^{zs}}{1 - s ^{2}} d s .

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