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Computational Physics: Which is a good C++ library to calculate Bessel's function for complex arguments?

• I need to calculate values for Bessel's function (and Hankel's function) for complex arguments to do some integrals. http://www.gnu.org/software/gsl/manual/html_node/Bessel-Functions.html and http://www.boost.org/doc/libs/1_35_0/libs/math/doc/sf_and_dist/html/math_toolkit/special/bessel/bessel.html seem to be able to do the job, though only for real arguments. Are there any (preferably open source) C++ libraries for calculating these special functions for complex arguments?

• Answer:

  From the lack of responses, I am assuming that there isn't any. But I did find a FORTRAN library from http://netlib.org/slatec/ that does the job. It is in public domain, and I ended up writing a c++ wrapper for that. In addition, http://code.google.com/p/complex-bessel/ is a GPL licensed C++ wrapper for another version of the Fortran routines from the same author (D.E. Amos) Scipy has a python wrapper (which actually seems to be a python wrapper for a C wrapper for the Fortran code) for Amos' Fortran routines to implement http://docs.scipy.org/doc/scipy/reference/generated/scipy.special.jv.html which can calculate the Bessel function for complex argument. Hope that helps someone else.