Mott Polynomial
المؤلف:
Erdélyi, A.; Magnus, W.; Oberhettinger, F.; and Tricomi, F. G.
المصدر:
Higher Transcendental Functions, Vol. 3. New York: Krieger
الجزء والصفحة:
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21-9-2019
2110
Mott Polynomial
Polynomials
which form the Sheffer sequence for
 |
(1)
|
and have exponential generating function
![sum_(k=0)^infty(s_k(x))/(k!)t^k=exp[(x(1-sqrt(1+t^2)))/t].](http://mathworld.wolfram.com/images/equations/MottPolynomial/NumberedEquation2.gif) |
(2)
|
The first few are
REFERENCES:
Erdélyi, A.; Magnus, W.; Oberhettinger, F.; and Tricomi, F. G. Higher Transcendental Functions, Vol. 3. New York: Krieger, p. 251, 1981.
Roman, S. The Umbral Calculus. New York: Academic Press, 1984.
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