Recursive construction for a class of radial functions. I. Ordinary space
(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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/339915
- author
- Guhr, Thomas LU and Kohler, H
- organization
- publishing date
- 2002
- 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}}, }