Difference between revisions of "Bessel-Clifford"
From specialfunctionswiki
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The Bessel-Clifford function $\mathcal{C}_n$ is defined by | The Bessel-Clifford function $\mathcal{C}_n$ is defined by | ||
$$\mathcal{C}_n(z)=\displaystyle\sum_{k=0}^{\infty} \dfrac{1}{\Gamma(k+n+1)} \dfrac{z^k}{k!},$$ | $$\mathcal{C}_n(z)=\displaystyle\sum_{k=0}^{\infty} \dfrac{1}{\Gamma(k+n+1)} \dfrac{z^k}{k!},$$ | ||
− | where $\Gamma$ denotes the [[gamma]] function | + | where $\dfrac{1}{\Gamma}$ denotes the [[reciprocal gamma]] function |
=Properties= | =Properties= | ||
+ | [[Bessel J in terms of Bessel-Clifford]]<br /> | ||
=References= | =References= | ||
[[Category:SpecialFunction]] | [[Category:SpecialFunction]] |
Revision as of 01:03, 23 December 2016
The Bessel-Clifford function $\mathcal{C}_n$ is defined by $$\mathcal{C}_n(z)=\displaystyle\sum_{k=0}^{\infty} \dfrac{1}{\Gamma(k+n+1)} \dfrac{z^k}{k!},$$ where $\dfrac{1}{\Gamma}$ denotes the reciprocal gamma function
Properties
Bessel J in terms of Bessel-Clifford