This article is cited in 2 papers

$q$-integral representations of modified $q$-Bessel functions and $q$-Macdonald functions

M. A. Olshanetsky^a, V.-B. K. Rogov<sup>b

a</sup> Institute for Theoretical and Experimental Physics (Russian Federation State Scientific Center)
^b Moscow State University of Railway Communications

Abstract: The $q$-analogues of modified Bessel functions and Macdonald functions were 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.

UDC: 517.58

MSC: Primary 33C10; Secondary 33Dxx

Received: 20.08.1996

DOI: 10.4213/sm248

 English version: Sbornik: Mathematics, 1997, 188:8, 1235–1258

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