DLMF:14.20.E10 (Q4931)

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Language	Label	Description	Also known as
English	DLMF:14.20.E10	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\mathsf{P}_{-\frac{1}{2}+i\tau}\left(\cos\theta% \right)=1+\frac{4\tau^{2}+1^{2}}{2^{2}}{\sin^{2}}\left(\tfrac{1}{2}\theta% \right)+\frac{\left(4\tau^{2}+1^{2}\right)\left(4\tau^{2}+3^{2}\right)}{2^{2}% \cdot 4^{2}}{\sin^{4}}\left(\tfrac{1}{2}\theta\right)+\cdots,}}

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DLMF:14.20.E10

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{\displaystyle{\displaystyle 0\leq\theta\leq\pi}}

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2afdec

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cosine function

Defining formula

{\displaystyle{\displaystyle\cos\NVar{z}}}

C4.S14.E2.m2addec

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Defining formula

{\displaystyle{\displaystyle\mathrm{i}}}

C1.S9.E1.m2apdec

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Defining formula

{\displaystyle{\displaystyle\mathsf{P}_{\NVar{\nu}}\left(\NVar{x}\right)=% \mathsf{P}^{0}_{\nu}\left(x\right)}}

C14.S2.SS2.p2.m2aadec

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Defining formula

{\displaystyle{\displaystyle\sin\NVar{z}}}

C4.S14.E1.m2addec

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Defining formula

{\displaystyle{\displaystyle\tau}}

C14.S1.XMD3.m1qdec

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Sitelinks

Wikipedia(0 entries)

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