Difference between revisions of "Relationship between sine and hypergeometric 0F1"
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Latest revision as of 07:34, 8 June 2016
Theorem
The following formula holds: $$\sin(az)=az{}_0F_1 \left(;\dfrac{3}{2};-\dfrac{(az)^2}{4} \right),$$ where $\sin$ denotes the sine function and ${}_0F_1$ denotes the hypergeometric pFq.
