Meixner Polynomial of the Second Kind
المؤلف:
Chihara, T. S.
المصدر:
An Introduction to Orthogonal Polynomials. New York: Gordon and Breach
الجزء والصفحة:
...
20-9-2019
1888
Meixner Polynomial of the Second Kind
The polynomials 
which form the Sheffer sequence for
which have generating function
![sum_(k=0)^infty(M_k(x;delta,eta))/(k!)t^k
=[(1+deltat)^2]^(-eta/2)exp((xtan^(-1)t)/(1-deltatan^(-1)t)).](http://mathworld.wolfram.com/images/equations/MeixnerPolynomialoftheSecondKind/NumberedEquation1.gif) |
(3)
|
The first few are
REFERENCES:
Chihara, T. S. An Introduction to Orthogonal Polynomials. New York: Gordon and Breach, p. 179, 1978.
Roman, S. The Umbral Calculus. New York: Academic Press, 1984.
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