Chihara–Ismail polynomials
From HandWiki
In mathematics, the Chihara–Ismail polynomials are a family of orthogonal polynomials introduced by Chihara and Ismail (1982),[1] generalizing the van Doorn polynomials introduced by van Doorn (1981)[2] and the Karlin–McGregor polynomials. They have a rather unusual measure, which is discrete except for a single limit point at 0 with jump 0, and is non-symmetric, but whose support has an infinite number of both positive and negative points.
References
- ↑ Chihara, Theodore S.; Ismail, Mourad E.H. (December 1982). "Orthogonal polynomials suggested by a queueing model" (in en). Advances in Applied Mathematics 3 (4): 441–462. doi:10.1016/S0196-8858(82)80017-1. https://linkinghub.elsevier.com/retrieve/pii/S0196885882800171.
- ↑ Van Doorn, Erik A. (June 1981). "The transient state probabilities for a queueing model where potential customers are discouraged by queue length" (in en). Journal of Applied Probability 18 (2): 499–506. doi:10.2307/3213296. ISSN 0021-9002. https://www.cambridge.org/core/product/identifier/S0021900200098156/type/journal_article.
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