scipy.special.pbwa#
- scipy.special.pbwa(a, x, out=None) = <ufunc 'pbwa'>#
- Parabolic cylinder function W. - The function is a particular solution to the differential equation \[y'' + \left(\frac{1}{4}x^2 - a\right)y = 0,\]- for a full definition see section 12.14 in [1]. - Parameters:
- aarray_like
- Real parameter 
- xarray_like
- Real argument 
- outndarray, optional
- Optional output array for the function results 
 
- Returns:
- wscalar or ndarray
- Value of the function 
- wpscalar or ndarray
- Value of the derivative in x 
 
 - Notes - The function is a wrapper for a Fortran routine by Zhang and Jin [2]. The implementation is accurate only for - |a|, |x| < 5and returns NaN outside that range.- References [1]- Digital Library of Mathematical Functions, 14.30. https://dlmf.nist.gov/14.30 [2]- Zhang, Shanjie and Jin, Jianming. “Computation of Special Functions”, John Wiley and Sons, 1996. https://people.sc.fsu.edu/~jburkardt/f_src/special_functions/special_functions.html