[Zurück]

P. Amodio, T. Levitina, G. Settanni, E. Weinmüller:
"On the Calculation of the Finite Hankel Transform Eigenfunctions";
in: "ASC Report 41/2011", herausgegeben von: Institute for Analaysis and Scientific Computing; Vienna University of Technology, Wien, 2011, ISBN: 978-3-902627-04-9.

In the recent years considerable attention has been focused on the numerical
computation of the eigenvalues and eigenfunctions of the nite (truncated)
Hankel transform, important for numerous applications. However,
due to the very special behavior of the Hankel transform eigenfunctions,
their direct numerical calculation often causes an essential loss of accuracy.
Here, we discuss several simple, e cient and robust numerical techniques
to compute Hankel transform eigenfunctions via the associated singular
self-adjoint Sturm-Liouville operator. The properties of the proposed
approaches are compared and illustrated by means of numerical experiments.

Finite Hankel Transform, generalized spheroidal wave functions,

http://www.asc.tuwien.ac.at/preprint/2011/asc41x2011.pdf