New software for a class of special functions
Nico Temme
CWI, Amsterdam, The Netherlands
Wednesday, May 22, 2002 15:00-16:00,
Room 145, NIST North (820)
Gaithersburg
Wednesday, May 22, 2002 13:00-14:00,
Room 4511
Boulder
Abstract:
When developing software for certain well-known special functions,
and allowing large values of parameters, efficient methods can be
based on uniform Airy-type asymptotic expansions. Examples are
the modified Bessel function of purely imaginary
order and parabolic cylinder functions. We discuss new codes for
these functions and for Airy functions in the complex plane. As a
spin off, software for Scorer functions (inhomogeneous Airy
functions) and properties of their zeros will be considered. This
research is done together with Amparo Gil and Javier Segura
(Madrid, Spain).
Contact: D. W. LozierNote: Visitors from outside NIST must contact
Robin Bickel; (301) 975-3668;
at least 24 hours in advance.
|
