Narumi polynomials

In mathematics, the Narumi polynomials s_n(x) are polynomials introduced by Narumi (1929)^[1] given by the generating function

\displaystyle \sum s_{n}(x)t^{n}/n!=\left({\frac {t}{\log(1+t)}}\right)^{a}(1+t)^{x}

References

^ Narumi, S. (1929), "On a power series having only a finite number of algebraico logarithmic singularities on its circle of convergence.", Tohoku Mathematical Journal, 30: 185–201, JFM 55.0185.03
^ Boas, Ralph P.; Buck, R. Creighton (1958), Polynomial expansions of analytic functions, Ergebnisse der Mathematik und ihrer Grenzgebiete. Neue Folge., vol. 19, Berlin, New York: Springer-Verlag, p. 37, ISBN 9783540031239, MR 0094466 {{citation}}: ISBN / Date incompatibility (help)
^ Roman, Steven (1984-03-21). The Umbral Calculus. London: Academic Press. ISBN 978-0-08-087430-2.