Abstract
The generalized Stirling numbers introduced recently (Mansour and Schork, 2011 [5] , Mansour et al., 2011 [6] ) are considered in detail for the particular case s = 2 corresponding to the meromorphic Weyl algebra. A combinatorial interpretation in terms of perfect matchings is given for these meromorphic Stirling numbers and the connection to Bessel functions is discussed. Furthermore, two related q -polynomial identities are derived.
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