Polynomials 
which form the Sheffer sequence for
 |
(1)
|
where 
is the inverse function of 
, and have generating
function
 |
(2)
|
The first few are
 |  |  |
(3)
|
 |  |  |
(4)
|
 |  |  |
(5)
|
 |  |  |
(6)
|
 |  |  |
(7)
|
 |  |  |
(8)
|
Mahler Polynomial
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References
Erdélyi, A.; Magnus, W.; Oberhettinger, F.; and Tricomi, F. G. Higher Transcendental Functions, Vol. 3. New York: Krieger, p. 254, 1981.Roman, S. The Umbral Calculus. New York: Academic Press, 1984.Referenced on Wolfram|Alpha
Mahler PolynomialCite this as:
Weisstein, Eric W. "Mahler Polynomial." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/MahlerPolynomial.html