scipy.special.log_wright_bessel#

scipy.special.log_wright_bessel(a, b, x, out=None) = <wrapped_ufunc 'log_wright_bessel'>#

Natural logarithm of Wright’s generalized Bessel function, see wright_bessel. This function comes in handy in particular for large values of x.

Parameters:

aarray_like of float: a >= 0
barray_like of float: b >= 0
xarray_like of float: x >= 0
outndarray, optional: Optional output array for the function results

Returns:

scalar or ndarray: Value of the logarithm of Wright’s generalized Bessel function

Notes

Due to the complexity of the function with its three parameters, only non-negative arguments are implemented.

Added in version 1.14.0.

Array API Standard Support

log_wright_bessel has support for Python Array API Standard compatible backends in addition to NumPy. The following combinations of backend and device (or other capability) are supported.

Library	CPU	GPU
NumPy	✅	n/a
CuPy	n/a	⛔
PyTorch	✅	⛔
JAX	✅	⛔
Dask	✅	n/a

For the NumPy backend, this function supports all NumPy ufunc keyword arguments. Other backends may support out, but typically none of the other ufunc kwargs. out is typically supported for CuPy and PyTorch, but not currently in cases where SciPy relies on a generic Array API implementation or, for PyTorch on CPU, falls back to the NumPy backend. out is never supported for JAX because JAX arrays are immutable. log_wright_bessel does not currently support out for the PyTorch backend.

See Support for the array API standard for more information.

Examples

>>> from scipy.special import log_wright_bessel
>>> a, b, x = 1.5, 1.1, 2.5
>>> log_wright_bessel(a, b, x)
1.1947654935299217