wright_bessel

mpsci.fun.wright_bessel(z, rho, beta)

Wright’s generalized Bessel function.

The parameter naming follows

https://dlmf.nist.gov/10.46

but here the z parameter is given first.

z and beta can be complex. rho must be real and greater than -1.

Warning: In the general case, this function uses mpmath.mp.nsum to compute the approximate sum of the Wright-Bessel series. This might require setting the mpmath precision very high to ensure that the result is accurate.

See also:

• https://appliedmath.brown.edu/sites/default/files/fractional/36%20TheWrightFunctions.pdf

• http://arxiv.org/pdf/2304.02903

• http://arxiv.org/pdf/2306.11381

• https://en.wikipedia.org/wiki/Bessel%E2%80%93Maitland_function