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| ファイル | 記述 | サイズ | フォーマット | |
|---|---|---|---|---|
| 1751-8113_47_40_405001.pdf | 84.09 kB | Adobe PDF | 見る/開く |
| タイトル: | Karlin–McGregor-like formula in a simple time-inhomogeneous birth–death process |
| 著者: | Ohkubo, Jun |
| 著者名の別形: | 大久保, 潤 |
| 発行日: | 18-Sep-2014 |
| 出版者: | IOP Publishing |
| 誌名: | Journal of Physics A: Mathematical and Theoretical |
| 巻: | 47 |
| 号: | 40 |
| 論文番号: | 405001 |
| 抄録: | Algebraic discussions are developed to derive transition probabilities for a simple time-inhomogeneous birth–death process. Algebraic probability theory and Lie algebraic treatments make it easy to treat the time-inhomogeneous cases. As a result, an expression based on the Charlier polynomials is obtained, which can be considered as an extension of a famous Karlin–McGregor representation for a time-homogeneous birth–death process. |
| 著作権等: | This is an author-created, un-copyedited version of an article accepted for publication in 'Journal of Physics A: Mathematical and Theoretical'. The publisher is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at 10.1088/1751-8113/47/40/405001. This is not the published version. Please cite only the published version. この論文は出版社版でありません。引用の際には出版社版をご確認ご利用ください。 |
| URI: | http://hdl.handle.net/2433/200177 |
| DOI(出版社版): | 10.1088/1751-8113/47/40/405001 |
| 出現コレクション: | 学術雑誌掲載論文等 |
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