In mathematics, the Chihara–Ismail polynomials are a family of
orthogonal polynomials
In mathematics, an orthogonal polynomial sequence is a family of polynomials such that any two different polynomials in the sequence are orthogonal
In mathematics, orthogonality (mathematics), orthogonality is the generalization of the geom ...
introduced by , generalizing the van Doorn polynomials introduced by and the
Karlin–McGregor polynomials. They have a rather unusual
measure, which is
discrete
Discrete may refer to:
*Discrete particle or quantum in physics, for example in quantum theory
* Discrete device, an electronic component with just one circuit element, either passive or active, other than an integrated circuit
* Discrete group, ...
except for a single
limit point
In mathematics, a limit point, accumulation point, or cluster point of a set S in a topological space X is a point x that can be "approximated" by points of S in the sense that every neighbourhood of x contains a point of S other than x itself. A ...
at 0 with jump 0, and is non-symmetric, but whose support has an infinite number of both positive and negative points.
References
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Orthogonal polynomials
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