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 $\Gamma$ 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

References