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In [[mathematics]] the '''Gould polynomials''' ''G''<sub>''n''</sub>(''x''; ''a'',''b'') are [[polynomial]]s introduced by H. W. Gould and named by Roman in 1984.<ref>{{Citation | last1=Roman | first1=Steven | title=The umbral calculus | url=http://books.google.com/books?id=JpHjkhFLfpgC | publisher=Academic Press Inc. [[Harcourt (publisher)|Harcourt Brace Jovanovich Publishers]] | location=London | series=Pure and Applied Mathematics | isbn=978-0-12-594380-2 | mr=741185 |id=Reprinted by Dover, 2005 | year=1984 | volume=111}}</ref>
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They are given by <ref>Gould, H. W. (1961), "A series transformation for finding convolution identities", ''Duke Math. J.'' Volume 28, Number 2, 193-202.</ref>
:<math> \displaystyle \exp(xf(t)) = \sum_nG_n(x;a,b)t^n/n!</math>
where
:<math>f(t)=\sum_{k\ge 1} \frac{1}{b}\binom{-(b+ak)/b}{k-1}\frac{t^k}{k!}</math>
 
==References==
<references/>
 
 
[[Category:Polynomials]]

Latest revision as of 22:39, 5 January 2015

Nurseryperson Bernie Maddalena from Griffin, loves to spend time marbles, ganhando dinheiro na internet and rc model aircrafts. Has travelled since childhood and has traveled to many destinations, for instance the Birthplace of the Lord Buddha.

Here is my page ... ganhar dinheiro