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Recursive construction for a class of radial functions. I. Ordinary space

Guhr, Thomas LU and Kohler, H (2002) In Journal of Mathematical Physics 43(5). p.2707-2740
Abstract
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. (C) 2002 American Institute of Physics.
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publishing date
type
Contribution to journal
publication status
published
subject
in
Journal of Mathematical Physics
volume
43
issue
5
pages
2707 - 2740
publisher
American Institute of Physics (AIP)
external identifiers
  • wos:000175145100037
  • scopus:0035981824
ISSN
0022-2488
DOI
10.1063/1.1463709
language
English
LU publication?
yes
additional info
The information about affiliations in this record was updated in December 2015. The record was previously connected to the following departments: Mathematical Physics (Faculty of Technology) (011040002)
id
27960494-f22c-46c7-8d1b-60fa4767647d (old id 339915)
date added to LUP
2016-04-01 16:51:16
date last changed
2022-01-28 22:39:23
@article{27960494-f22c-46c7-8d1b-60fa4767647d,
  abstract     = {{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. (C) 2002 American Institute of Physics.}},
  author       = {{Guhr, Thomas and Kohler, H}},
  issn         = {{0022-2488}},
  language     = {{eng}},
  number       = {{5}},
  pages        = {{2707--2740}},
  publisher    = {{American Institute of Physics (AIP)}},
  series       = {{Journal of Mathematical Physics}},
  title        = {{Recursive construction for a class of radial functions. I. Ordinary space}},
  url          = {{http://dx.doi.org/10.1063/1.1463709}},
  doi          = {{10.1063/1.1463709}},
  volume       = {{43}},
  year         = {{2002}},
}