Difference between revisions of "Bessel polynomial generalized hypergeometric"
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<strong>[[Bessel polynomial generalized hypergeometric|Theorem]]:</strong> The following formula holds: | <strong>[[Bessel polynomial generalized hypergeometric|Theorem]]:</strong> The following formula holds: | ||
$$y_n(x)={}_2F_0 \left( -n, 1+n;-; -\dfrac{1}{2}x \right),$$ | $$y_n(x)={}_2F_0 \left( -n, 1+n;-; -\dfrac{1}{2}x \right),$$ | ||
| − | where $y_n(x)$ denotes a [[Bessel polynomial]] and ${}_2F_0$ denotes the [[ | + | where $y_n(x)$ denotes a [[Bessel polynomial]] and ${}_2F_0$ denotes the [[Hypergeometric pFq|generalized hypergeometric function]]. |
<div class="mw-collapsible-content"> | <div class="mw-collapsible-content"> | ||
<strong>Proof:</strong> █ | <strong>Proof:</strong> █ | ||
</div> | </div> | ||
</div> | </div> | ||
Revision as of 10:17, 23 March 2015
Theorem: The following formula holds: $$y_n(x)={}_2F_0 \left( -n, 1+n;-; -\dfrac{1}{2}x \right),$$ where $y_n(x)$ denotes a Bessel polynomial and ${}_2F_0$ denotes the generalized hypergeometric function.
Proof: █
