Difference between revisions of "Pidduck polynomial"
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(Created page with "The Pidduck polynomials $s_n(x)$ are given by $$\left( \dfrac{1+t}{1-t} \right)^x \dfrac{1}{1-t} = \displaystyle\sum_{k=0}^{\infty} s_k(x) \dfrac{t^k}{k!}.$$") |
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The Pidduck polynomials $s_n(x)$ are given by | The Pidduck polynomials $s_n(x)$ are given by | ||
$$\left( \dfrac{1+t}{1-t} \right)^x \dfrac{1}{1-t} = \displaystyle\sum_{k=0}^{\infty} s_k(x) \dfrac{t^k}{k!}.$$ | $$\left( \dfrac{1+t}{1-t} \right)^x \dfrac{1}{1-t} = \displaystyle\sum_{k=0}^{\infty} s_k(x) \dfrac{t^k}{k!}.$$ | ||
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| + | [[Category:SpecialFunction]] | ||
Latest revision as of 18:43, 24 May 2016
The Pidduck polynomials $s_n(x)$ are given by $$\left( \dfrac{1+t}{1-t} \right)^x \dfrac{1}{1-t} = \displaystyle\sum_{k=0}^{\infty} s_k(x) \dfrac{t^k}{k!}.$$
