BESSEL

 

 Bessel functions of various kinds.

  The suite of M-files for Bessel functions has been modified and

  extended since the reference manuals for MATLAB 3.5 and 4.0 were

  printed.  The underlying algorithms have been substantially

  improved.  There are now four primary functions for real X.

 

 

      BESSELJ1LK10JI(ALPHA,X)  Bessel functions of the first kind,

      BESSELYZAPJ39(ALPHA,X)  Bessel functions of the second kind,

      BESSELIZAP039(ALPHA,X)  Modified Bessel functions of the first kind,

      BESSELK5OWN8US(ALPHA,X)  Modified Bessel functions of the second kind.

 

 

  An old function, BESSELAZAP239(ALPHA,X), accepts complex X, but may

  produce inaccurate results for large ALPHA or large X.

 

 

  This M-file, BESSEL(ALPHA,X), calls BESSELJ1LK10JI(ALPHA,X) if X is real,

  BESSELIZAP039(ALPHA,X) if X is imaginary, and BESSELAZAP239(ALPHA,X) if X

  is complex.  The auxilliary routine BESSELN is no longer used.

  BESSELH has been superceded by BESSELYZAPJ39.