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Gould polynomials

From Wikipedia, the free encyclopedia

In mathematics the Gould polynomials Gn(x; a,b) are polynomials introduced by H. W. Gould and named by Roman in 1984.[1] They are given by [2]

where

so

References

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  1. ^ Roman, Steven (1984), The umbral calculus, Pure and Applied Mathematics, vol. 111, London: Academic Press Inc. Harcourt Brace Jovanovich Publishers, ISBN 978-0-12-594380-2, MR 0741185, Reprinted by Dover, 2005
  2. ^ Gould, H. W. (1961), "A series transformation for finding convolution identities", Duke Math. J. Volume 28, Number 2, 193-202.