jax.numpy.i0

jax.numpy.i0(x)[source]

Modified Bessel function of the first kind, order 0.

LAX-backend implementation of i0().

Original docstring below.

Usually denoted \(I_0\).

Parameters

x (array_like of float) – Argument of the Bessel function.

Returns

out – The modified Bessel function evaluated at each of the elements of x.

Return type

ndarray, shape = x.shape, dtype = float

References

1

C. W. Clenshaw, “Chebyshev series for mathematical functions”, in National Physical Laboratory Mathematical Tables, vol. 5, London: Her Majesty’s Stationery Office, 1962.

2

M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions, 10th printing, New York: Dover, 1964, pp. 379. https://personal.math.ubc.ca/~cbm/aands/page_379.htm

3

https://metacpan.org/pod/distribution/Math-Cephes/lib/Math/Cephes.pod#i0:-Modified-Bessel-function-of-order-zero