# 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**.

### Online copies

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### 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 $F_n(z)$.