Difference between revisions of "Paper:Harry Bateman/Some Properties of a certain Set of Polynomials"
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(Created page with "{{Book|Some Properties of a certain Set of Polynomials|1933|Tohoku Mathematical Journal||Harry Bateman}}") |
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{{Book|Some Properties of a certain Set of Polynomials|1933|Tohoku Mathematical Journal||Harry Bateman}} | {{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]] | ||
Latest revision as of 01:59, 22 June 2016
Harry Bateman: Some Properties of a certain Set of Polynomials
Published $1933$, Tohoku Mathematical Journal.
Online copies
hosted by the 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 $F_n(z)$.
