Q-INTEGRAL REPRESENTATIONS OF MODIFIED Q-BESSEL FUNCTIONS AND Q-MACDONALD FUNCTIONS

Citation
Ma. Olshanetskii et Vbk. Rogov, Q-INTEGRAL REPRESENTATIONS OF MODIFIED Q-BESSEL FUNCTIONS AND Q-MACDONALD FUNCTIONS, Sbornik. Mathematics, 188(7-8), 1997, pp. 1235-1258
Citations number
12
Journal title
ISSN journal
10645616
Volume
188
Issue
7-8
Year of publication
1997
Pages
1235 - 1258
Database
ISI
SICI code
1064-5616(1997)188:7-8<1235:QROMQF>2.0.ZU;2-W
Abstract
The q-analogues of modified Bessel functions and Macdonald functions w ere defined in the previous paper of the authors as general solutions of certain second-order difference equations. Several representations of these functions based on the jackson integral are presented.