umbral calculus

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1: 24.4 Basic Properties

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24.4.39 $$E_n\left(x+h\right)={(E(x)+h)}^n.$$

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Symbols:

$E_n\left(x\right)$: Euler polynomials, $n$: integer and $x$: real or complex

A&S Ref:

23.1.26

Permalink:

http://dlmf.nist.gov/24.4.E39

Encodings:

pMML, png, TeX

See also:

Annotations for §24.4(viii), §24.4 and Ch.24

►For these results and also connections with the umbral calculus see Gessel (2003). …

2: Bibliography G

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Applications of the classical umbral calculus. Algebra Universalis 49 (4), pp. 397–434.

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External Links:

ISSN 0002-5240, Document, MathReview (George E. Andrews), ZentralBlatt

Referenced by:

§24.4(viii).

Encodings:

BibTeX

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3: Bibliography

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Umbral calculus, Bailey chains, and pentagonal number theorems. J. Combin. Theory Ser. A 91 (1-2), pp. 464–475.

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Notes:

In memory of Gian-Carlo Rota

External Links:

ISSN 0097-3165, Document, MathReview (Alessandro Di Bucchianico), ZentralBlatt

Referenced by:

§17.12.

Encodings:

BibTeX

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