Difference between revisions of "Relationship between sine and hypergeometric 0F1"

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Revision as of 18:21, 20 May 2015

Theorem: The following formula holds: $$\sin(z)=z{}_0F_1 \left(;\dfrac{3}{2};-\dfrac{z^2}{4} \right),$$ where $\sin$ denotes the sine and ${}_0F_1$ denotes the hypergeometric pFq.

Proof: