# 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 $$I_0$$. This function does broadcast, but will not “up-cast” int dtype arguments unless accompanied by at least one float or complex dtype argument (see Raises below).

Parameters

x (array_like, dtype float or complex) – 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 = x.dtype

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. http://www.math.sfu.ca/~cbm/aands/page_379.htm

3

http://kobesearch.cpan.org/htdocs/Math-Cephes/Math/Cephes.html