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arXiv · 1303.0361

On a Seminal Paper by Karlin and McGregor

Mirta M. Castro·F. Alberto Grünbaum
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Abstract

The use of spectral methods to study birth-and-death processes was pioneered by S. Karlin and J. McGregor. Their expression for the transition probabilities was made explicit by them in a few cases. Here we complete their analysis and indicate a few applications of their very powerful method.

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Mirta M. Castro, F. Alberto Grünbaum. 2013-03-02. On a Seminal Paper by Karlin and McGregor. https://doi.org/10.3842/sigma.2013.020

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