Paper:Harry Bateman/Some Properties of a certain Set of Polynomials

From specialfunctionswiki
Revision as of 01:59, 22 June 2016 by Tom (talk | contribs)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to: navigation, search

Harry Bateman: Some Properties of a certain Set of Polynomials

Published $1933$, Tohoku Mathematical Journal.

Online copies

hosted by the Tohoku Mathematical Journal


1. The generating function.
2. Transformation of the generating function.
3. Expansion of a polynomial in a series of factorials.
4. Proof of the operational equation.
5. Recurrence relations.
6. Definite integrals for $F_n(z)$
7. The sign of $F_n(z)$ when $z$ is real.
8. Expansion of the exponential function.
9. Expansion of a factorial.
10. The power for $F_n(z)$.