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.
Original language | American English |
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Pages (from-to) | 1767-1771 |
Number of pages | 5 |
Journal | Applied Mathematics Letters |
Volume | 25 |
Issue number | 11 |
DOIs | |
State | Published - Nov 2012 |
Keywords
- Generalized
- Meromorphic
- Stirling numbers
- Weyl algebra
All Science Journal Classification (ASJC) codes
- Applied Mathematics