Gould polynomials - Alchetron, The Free Social Encyclopedia

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

exp ⁡ ( x f ( t ) ) = ∑ n G n ( x ; a , b ) t n / n !

where

f ( t ) = ∑ k ≥ 1 1 b ( − ( b + a k ) / b k − 1 ) t k k !

References

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