|
|||||
|
|
Ramanujan theta functions and birth and death processes |
|
| Authors: | Bruno Ebner Norbert Henze Panamalai R. Parthasarathy |
| Affiliation: | 1. Institute of Stochastics, Karlsruhe Institute of Technology (KIT), Kaiserstr. 89, D-76133 Karlsruhe, Germany;2. Indian Institute of Technology Madras, IN-600 036 Chennai, India |
| Abstract: | This paper discusses birth and death processes that are related to the celebrated Ramanujan’s theta functions. The pertinent transient system size probabilities are calculated numerically via a truncation of continued fractions. |
| Keywords: | Birth and death processes Rogers&ndash Ramanujan identities Theta function Continued fractions Transient system size probabilities |
| 本文献已被 ScienceDirect 等数据库收录！ | |