Difference between revisions of "Bessel-Clifford"
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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 $\dfrac{1}{\Gamma}$ denotes the [[reciprocal gamma]] function | + | where $\dfrac{1}{\Gamma}$ denotes the [[reciprocal gamma]] function. |
=Properties= | =Properties= | ||
Revision as of 10:48, 11 January 2017
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
Derivative of Bessel-Clifford
Bessel J in terms of Bessel-Clifford
Relationship between Bessel-Clifford and hypergeometric 0F1
