This is documentation for an old release of SciPy (version 0.18.1). Read this page in the documentation of the latest stable release (version 1.15.1).
scipy.special.i0¶
- scipy.special.i0(x) = <ufunc 'i0'>¶
Modified Bessel function of order 0.
Defined as,
I0(x)=∞∑k=0(x2/4)k(k!)2=J0(ıx),where J0 is the Bessel function of the first kind of order 0.
Parameters: x : array_like
Argument (float)
Returns: I : ndarray
Value of the modified Bessel function of order 0 at x.
Notes
The range is partitioned into the two intervals [0, 8] and (8, infinity). Chebyshev polynomial expansions are employed in each interval.
This function is a wrapper for the Cephes [R379] routine i0.
References
[R379] (1, 2) Cephes Mathematical Functions Library, http://www.netlib.org/cephes/index.html