Mittag-Leffler polynomials

In mathematics, the Mittag-Leffler polynomials are the polynomials g_n(z) studied by Mittag-Leffler (1891).

They are given by

$\displaystyle (1+t)^z(1-t)^{-z}=\sum_n g_n(z)t^n.$

References

• Bateman, H. (1940), "The polynomial of Mittag-Leffler", Proceedings of the National Academy of Sciences of the United States of America, 26: 491–496, doi:10.1073/pnas.26.8.491, ISSN 0027-8424, JSTOR 86958, MR 0002381
• Mittag-Leffler, G. (1891), "Sur la représentasion analytique des intégrales et des invariants d'une équation différentielle linéaire et homogène", Acta Mathematica (in French), XV: 1–32, doi:10.1007/BF02392600, ISSN 0001-5962, JFM 23.0327.01