Mahler polynomial
Encyclopedia
In mathematics, the Mahler polynomials gn(x) are polynomials introduced by in his work on the zeros of the incomplete gamma function
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Mahler polynomials are given by the generating function
Mahler polynomials can be given as the Sheffer sequence for the functional inverse of 1+t–et .
Incomplete gamma function
In mathematics, the gamma function is defined by a definite integral. The incomplete gamma function is defined as an integral function of the same integrand. There are two varieties of the incomplete gamma function: the upper incomplete gamma function is for the case that the lower limit of...
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Mahler polynomials are given by the generating function
Generating function
In mathematics, a generating function is a formal power series in one indeterminate, whose coefficients encode information about a sequence of numbers an that is indexed by the natural numbers. Generating functions were first introduced by Abraham de Moivre in 1730, in order to solve the general...
Mahler polynomials can be given as the Sheffer sequence for the functional inverse of 1+t–et .