Difference between revisions of "Bessel-Clifford"
From specialfunctionswiki
| Line 5: | Line 5: | ||
<div align="center"> | <div align="center"> | ||
<gallery> | <gallery> | ||
| − | File:Besselcliffordn=0plot.png|Graph of $\mathcal{C}_0$ on $[- | + | File:Besselcliffordn=0plot.png|Graph of $\mathcal{C}_0$ on $[-5,15]$. |
</gallery> | </gallery> | ||
</div> | </div> | ||
Latest revision as of 16:03, 29 April 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.
Graph of $\mathcal{C}_0$ on $[-5,15]$.
Properties
Derivative of Bessel-Clifford
Bessel J in terms of Bessel-Clifford
Relationship between Bessel-Clifford and hypergeometric 0F1
