besselj

besselj, a Python code which evaluates Bessel J functions of noninteger order.

At the moment, this code simply consists of a test case for the scipy.special.jv(nu,x) function. Later, the source code for some other implementations of the Bessel J function may be added.

Licensing:

The information on this web page is distributed under the MIT license.

Languages:

besselj is available in a C version and a C++ version and a Fortran90 version and a MATLAB version and an Octave version and a Python version.

Related Data and Programs:

besselj_zero, a Python code which computes zeros of any Bessel j function of integer order n.

besselzero, a Python code which calls scipy functions jn_zeros() and yn_zeros() to compute zeros of Bessel j and y functions.

polpak, a Python code which evaluates certain mathematical functions, especially some recursive polynomial families.

Reference:

1. Donald Amos, SL Daniel, MK Weston,
   CDC 6600 subroutines IBESS and JBESS for Bessel functions I(NU,X) and J(NU,X),
   ACM Transactions on Mathematical Software,
   Volume 3, Number 1, March 1977, pages 76-92.
2. William Cody,
   Algorithm 715: SPECFUN - A Portable Fortran Package of Special Function Routines and Test Drivers,
   ACM Transactions on Mathematical Software,
   Volume 19, Number 1, March 1993, pages 22-32.

Source Code:

• besselj.py, the source code.
• besselj.sh, runs all the tests.
• besselj.txt, the output file.