Quantum group approach to q-special functions

Authors
Ahmed, E Hegazi, A Mansour, M
Citation
E. Ahmed et al., Quantum group approach to q-special functions, INT J THEOR, 39(1), 2000, pp. 41-45
Citations number
8
Categorie Soggetti
Physics
Journal title
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
ISSN journal
00207748 → ACNP
Volume
39
Issue
1
Year of publication
2000
Pages
41 - 45
Database
ISI
SICI code
0020-7748(200001)39:1<41:QGATQF>2.0.ZU;2-2
Abstract
Quantum groups are used to define q-special functions. The Casimir operator s of a variation of SUq(2) and E-q(2) are derived. The proposed q-associate d Legendre and q-Bessel functions are the eigenfunctions of the Casimirs. T he results differ from ordinary q-special functions, but this is expected s ince the q-generalization is not unique.