On the Stirling numbers associated with the meromorphic Weyl algebra

Toufik Mansour; Matthias Schork; Mark Shattuck

doi:https://doi.org/10.1016/j.aml.2012.02.009

On the Stirling numbers associated with the meromorphic Weyl algebra

Toufik Mansour, Matthias Schork, Mark Shattuck

Department of Mathematics

University of Haifa

Research output: Contribution to journal › Article › peer-review

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
Pages (from-to)	1767-1771
Number of pages	5
Journal	Applied Mathematics Letters
Volume	25
Issue number	11
DOIs	https://doi.org/10.1016/j.aml.2012.02.009
State	Published - Nov 2012

Keywords

Generalized
Meromorphic
Stirling numbers
Weyl algebra

All Science Journal Classification (ASJC) codes

Applied Mathematics

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https://doi.org/10.1016/j.aml.2012.02.009

Cite this

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title = "On the Stirling numbers associated with the meromorphic Weyl algebra",

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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author = "Toufik Mansour and Matthias Schork and Mark Shattuck",

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AU - Schork, Matthias

AU - Shattuck, Mark

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N2 - 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.

AB - 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.

KW - Generalized

KW - Meromorphic

KW - Stirling numbers

KW - Weyl algebra

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M3 - Article

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EP - 1771

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

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ER -

On the Stirling numbers associated with the meromorphic Weyl algebra

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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