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Media type:
E-Article
Title:
Recursive construction for a class of radial functions. I. Ordinary space
Contributor:
Guhr, Thomas;
Kohler, Heiner
Published:
AIP Publishing, 2002
Published in:
Journal of Mathematical Physics, 43 (2002) 5, Seite 2707-2740
Language:
English
DOI:
10.1063/1.1463709
ISSN:
1089-7658;
0022-2488
Origination:
Footnote:
Description:
A class of spherical functions is studied which can be viewed as the matrix generalization of Bessel functions. We derive a recursive structure for these functions. We show that they are only special cases of more general radial functions which also have a properly generalized, recursive structure. Some explicit results are worked out. For the first time, we identify a subclass of such radial functions which consist of a finite number of terms only.