Difference between revisions of "Bessel-Clifford"
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Let $\pi(x)=\dfrac{1}{\Gamma(x+1)}$, where $\Gamma$ denotes the [[gamma function]]. The Bessel-Clifford function $\mathcal{C}_n$ is defined by | Let $\pi(x)=\dfrac{1}{\Gamma(x+1)}$, where $\Gamma$ denotes the [[gamma function]]. The Bessel-Clifford function $\mathcal{C}_n$ is defined by | ||
$$\mathcal{C}_n(z)=\displaystyle\sum_{k=0}^{\infty} \pi(k+n)\dfrac{z^k}{k!}.$$ | $$\mathcal{C}_n(z)=\displaystyle\sum_{k=0}^{\infty} \pi(k+n)\dfrac{z^k}{k!}.$$ | ||
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| + | [[Category:SpecialFunction]] | ||
Revision as of 18:30, 24 May 2016
Let $\pi(x)=\dfrac{1}{\Gamma(x+1)}$, where $\Gamma$ denotes the gamma function. The Bessel-Clifford function $\mathcal{C}_n$ is defined by $$\mathcal{C}_n(z)=\displaystyle\sum_{k=0}^{\infty} \pi(k+n)\dfrac{z^k}{k!}.$$
