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单词 Poisson-Charlier Polynomial
释义

Poisson-Charlier Polynomial

Polynomials which belong to the distribution where is a Step Function with Jump

(1)

at , 1, ...for .
(2)
 (3)
 (4)

where is a Binomial Coefficient, is an associatedLaguerre Polynomial, and


(5)
(6)

See also Poisson-Charlier Function


References

Szegö, G. Orthogonal Polynomials, 4th ed. Providence, RI: Amer. Math. Soc., pp. 34-35, 1975.


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