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

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## Harry Bateman: Some Properties of a certain Set of Polynomials

Published $1933$, Tohoku Mathematical Journal.

### 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 $F_n(z)$.