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

{{Book|Some Properties of a certain Set of Polynomials|1933|Tohoku Mathematical Journal||Harry Bateman}}

===Online copies===
[https://www.jstage.jst.go.jp/article/tmj1911/37/0/37_0_23/_pdf hosted by the Tohoku Mathematical Journal]<br />

===Contents===
: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 $F_n(z)$.

[[Category:Paper]]