Difference between revisions of "Relationship between cosine and hypergeometric 0F1"
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| − | + | ==Theorem== | |
| − | + | The following formula holds: | |
$$\cos(z)={}_0F_1 \left(;\dfrac{1}{2};-\dfrac{z^2}{4} \right),$$ | $$\cos(z)={}_0F_1 \left(;\dfrac{1}{2};-\dfrac{z^2}{4} \right),$$ | ||
where $\cos$ denotes the [[cosine]] and ${}_0F_1$ denotes the [[hypergeometric pFq]]. | where $\cos$ denotes the [[cosine]] and ${}_0F_1$ denotes the [[hypergeometric pFq]]. | ||
| − | + | ||
| − | + | ==Proof== | |
| − | + | ||
| − | + | ==References== | |
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| + | [[Category:Theorem]] | ||
| + | [[Category:Unproven]] | ||
Latest revision as of 07:39, 8 June 2016
Theorem
The following formula holds: $$\cos(z)={}_0F_1 \left(;\dfrac{1}{2};-\dfrac{z^2}{4} \right),$$ where $\cos$ denotes the cosine and ${}_0F_1$ denotes the hypergeometric pFq.
