dorsal/arxiv
View SchemaDobinski-type relations: Some properties and physical applications
| Authors | P Blasiak, A Horzela, K A Penson, A I Solomon |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0511157 |
| URL | https://arxiv.org/abs/quant-ph/0511157 |
| DOI | 10.1088/0305-4470/39/18/015 |
| Journal | J. Phys. A: Math. Gen. 39, 4999-5006 (2006) |
Abstract
We introduce a generalization of the Dobinski relation through which we define a family of Bell-type numbers and polynomials. For all these sequences we find the weight function of the moment problem and give their generating functions. We provide a physical motivation of this extension in the context of the boson normal ordering problem and its relation to an extension of the Kerr Hamiltonian.
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"abstract": "We introduce a generalization of the Dobinski relation through which we\ndefine a family of Bell-type numbers and polynomials. For all these sequences\nwe find the weight function of the moment problem and give their generating\nfunctions. We provide a physical motivation of this extension in the context of\nthe boson normal ordering problem and its relation to an extension of the Kerr\nHamiltonian.",
"arxiv_id": "quant-ph/0511157",
"authors": [
"P Blasiak",
"A Horzela",
"K A Penson",
"A I Solomon"
],
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"quant-ph"
],
"doi": "10.1088/0305-4470/39/18/015",
"journal_ref": "J. Phys. A: Math. Gen. 39, 4999-5006 (2006)",
"title": "Dobinski-type relations: Some properties and physical applications",
"url": "https://arxiv.org/abs/quant-ph/0511157"
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