Confluent hypergeometric functions


Matlab code for computing confluent hypergeometric functions

DISCLAIMER: This is a test version of the code. Although the code has been tested for an extended range of parameters, some unexpected errors can emerge for other parameters. Please report such irregular situations.

DESCRIPTION: The code implements three algorithms: (i) basic Taylor series for small |z| and |a|, (ii) series representation with Buchholz polynomials for large |a| and moderate z, and (iii) integral representation for large z and moderate |a|. The computational details are described in D. S. Grebenkov, First Exit Times of Harmonically Trapped Particles: A Didactic Review, J. Phys. A 48, 013001 (2015)

CITATION: Whenever the code is used, the following reference should be cited D. S. Grebenkov, First Exit Times of Harmonically Trapped Particles: A Didactic Review, J. Phys. A 48, 013001 (2015)


You can download:

Kummer function M(a,b,z)

Tricomi function U(a,b,z)


Your appreciation can be sent to denis.grebenkov@polytechnique.edu
Last modified 26/10/2015

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