Polynomials

Generalized Appell polynomials

In mathematics, a polynomial sequence has a generalized Appell representation if the generating function for the polynomials takes on a certain form: where the generating function or kernel is composed of the series with and and all and with Given the above, it is not hard to show that is a polynomial of degree . Boas–Buck polynomials are a slightly more general class of polynomials. (Wikipedia).

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Ling Long - Hypergeometric Functions, Character Sums and Applications - Lecture 1

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Ling Long - Hypergeometric Functions, Character Sums and Applications - Lecture 6

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Related pages

Appell sequence | Polynomial | Kernel (category theory) | Mathematics | Composition (combinatorics) | Q-difference polynomial | Degree of a polynomial | Sheffer sequence | Generating function | Polynomial sequence | Boas–Buck polynomials