Mahler polynomial
Appearance
This article has multiple issues. Please help improve it or discuss these issues on the talk page. (Learn how and when to remove these template messages)
|
In mathematics, the Mahler polynomials gn(x) are polynomials introduced by Mahler (1930) in his work on the zeros of the incomplete gamma function.
Mahler polynomials are given by the generating function
Which is close to the generating function of the Touchard polynomials.
The first few examples are (sequence A008299 in the OEIS)
References
[edit]- Mahler, Kurt (1930), "Über die Nullstellen der unvollständigen Gammafunktionen.", Rendiconti Palermo (in German), 54: 1–41, doi:10.1007/BF03021175, JFM 56.0310.01