Mittag-Leffler polynomials

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

They are given by

${\displaystyle \displaystyle (1+t)^{z}(1-t)^{-z}=\sum _{n}g_{n}(z)t^{n}.}$

See also[]

• Bernoulli polynomials of the second kind
• Stirling polynomials
• Poly-Bernoulli number

References[]

• Bateman, H. (1940), "The polynomial of Mittag-Leffler" (PDF), Proceedings of the National Academy of Sciences of the United States of America, 26 (8): 491–496, doi:10.1073/pnas.26.8.491, ISSN 0027-8424, JSTOR 86958, MR 0002381, PMC 1078216, PMID 16588390
• 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