Difference between revisions of "Humbert polynomials"
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(Created page with "The Humbert polynomials $\pi_{n,m}^{\lambda}(x)$ are defined by $$\dfrac{1}{(1-mxt+t^m)^{\lambda}}=\displaystyle\sum_{k=0}^{\infty} \pi_{k,m}^{\lambda}(x)t^k.$$") |
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The Humbert polynomials $\pi_{n,m}^{\lambda}(x)$ are defined by | The Humbert polynomials $\pi_{n,m}^{\lambda}(x)$ are defined by | ||
$$\dfrac{1}{(1-mxt+t^m)^{\lambda}}=\displaystyle\sum_{k=0}^{\infty} \pi_{k,m}^{\lambda}(x)t^k.$$ | $$\dfrac{1}{(1-mxt+t^m)^{\lambda}}=\displaystyle\sum_{k=0}^{\infty} \pi_{k,m}^{\lambda}(x)t^k.$$ | ||
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+ | [[Category:SpecialFunction]] |
Latest revision as of 18:42, 24 May 2016
The Humbert polynomials $\pi_{n,m}^{\lambda}(x)$ are defined by $$\dfrac{1}{(1-mxt+t^m)^{\lambda}}=\displaystyle\sum_{k=0}^{\infty} \pi_{k,m}^{\lambda}(x)t^k.$$