In mathematics, the '''Chihara–Ismail polynomials''' are a family of orthogonal polynomials introduced by {{harvs|txt|last=Chihara|author1-link=|last2=Ismail|author2-link=|year=1982}},<ref>{{Cite journal |last=Chihara |first=Theodore S. |last2=Ismail |first2=Mourad E.H. |date=December 1982 |title=Orthogonal polynomials suggested by a queueing model |url=https://linkinghub.elsevier.com/retrieve/pii/S0196885882800171 |journal=Advances in Applied Mathematics |language=en |volume=3 |issue=4 |pages=441–462 |doi=10.1016/S0196-8858(82)80017-1|url-access=subscription }}</ref> generalizing the '''van Doorn polynomials''' introduced by van Doorn (1981)<ref>{{Cite journal |last=Van Doorn |first=Erik A. |date=June 1981 |title=The transient state probabilities for a queueing model where potential customers are discouraged by queue length |url=https://www.cambridge.org/core/product/identifier/S0021900200098156/type/journal_article |journal=Journal of Applied Probability |language=en |volume=18 |issue=2 |pages=499–506 |doi=10.2307/3213296 |issn=0021-9002|url-access=subscription }}</ref> 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== <references /> Category:Orthogonal polynomials
{{polynomial-stub}}