Vereinigter Israel Appell - définition. Qu'est-ce que Vereinigter Israel Appell
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Qu'est-ce (qui) est Vereinigter Israel Appell - définition

TYPE OF POLYNOMIAL SEQUENCE
Appel sequence; Appell polynomial; Appell polynomials; Appell set; Appell sequences; Appell sets

Appell series         
SET OF FOUR HYPERGEOMETRIC SERIES
Appell function; Appell hypergeometric function; Appell hypergeometric series
In mathematics, Appell series are a set of four hypergeometric series F1, F2, F3, F4 of two variables that were introduced by and that generalize Gauss's hypergeometric series 2F1 of one variable. Appell established the set of partial differential equations of which these functions are solutions, and found various reduction formulas and expressions of these series in terms of hypergeometric series of one variable.
Appell sequence         
In mathematics, an Appell sequence, named after Paul Émile Appell, is any polynomial sequence \{p_n(x)\}_{n=0,1,2,\ldots} satisfying the identity
Jonathan Israel         
BRITISH HISTORIAN
Jonathan I. Israel; Jonathan Irvine Israel; Israel, Jonathan I.; Israel, Jonathan Irvine; Israel, Jonathan; Jonathnan L. Israel
Jonathan Irvine Israel (born 26 January 1946) is a British writer and academic specialising in Dutch history, the Age of Enlightenment and European Jews. Israel was appointed as Andrew W.

Wikipédia

Appell sequence

In mathematics, an Appell sequence, named after Paul Émile Appell, is any polynomial sequence { p n ( x ) } n = 0 , 1 , 2 , {\displaystyle \{p_{n}(x)\}_{n=0,1,2,\ldots }} satisfying the identity

d d x p n ( x ) = n p n 1 ( x ) , {\displaystyle {\frac {d}{dx}}p_{n}(x)=np_{n-1}(x),}

and in which p 0 ( x ) {\displaystyle p_{0}(x)} is a non-zero constant.

Among the most notable Appell sequences besides the trivial example { x n } {\displaystyle \{x^{n}\}} are the Hermite polynomials, the Bernoulli polynomials, and the Euler polynomials. Every Appell sequence is a Sheffer sequence, but most Sheffer sequences are not Appell sequences. Appell sequences have a probabilistic interpretation as systems of moments.