DLMF:4.19.E4 (Q1683)

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Language	Label	Description	Also known as
English	DLMF:4.19.E4	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\csc z=\frac{1}{z}+\frac{z}{6}+\frac{7}{360}z^{3}+% \frac{31}{15120}z^{5}+\cdots+\frac{(-1)^{n-1}2(2^{2n-1}-1)B_{2n}}{(2n)!}z^{2n-% 1}+\cdots,}}

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DLMF:4.19.E4

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{\displaystyle{\displaystyle 0<|z|<\pi}}

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Defining formula

{\displaystyle{\displaystyle B_{\NVar{n}}}}

C24.S2.SS1.m1aadec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2aadec

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cosecant function

Defining formula

{\displaystyle{\displaystyle\csc\NVar{z}}}

C4.S14.E5.m2adec

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Defining formula

{\displaystyle{\displaystyle!}}

introduction.Sx4.p1.t1.r15.m5acdec

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Defining formula

{\displaystyle{\displaystyle n}}

C4.S1.XMD3.m1adec

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Defining formula

{\displaystyle{\displaystyle z}}

C4.S1.XMD8.m1cdec

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Sitelinks

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