Formula:1847

Digital Library of Mathematical Functions ID 4.19.E4

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

Constraint(s)

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

Symbols List

• ${\displaystyle{\displaystyle B_{\NVar{n}}}}$:
• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle\csc\NVar{z}}}$: cosecant function
• ${\displaystyle{\displaystyle!}}$:
• ${\displaystyle{\displaystyle n}}$: integer
• ${\displaystyle{\displaystyle z}}$: complex variable
 

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