Formula:1849

Digital Library of Mathematical Functions ID 4.19.E5

${\displaystyle{\displaystyle\sec z=1+\frac{z^{2}}{2}+\frac{5}{24}z^{4}+\frac{61}{720}z^{6}+\cdots+\frac{(-1)^{n}E_{2n}}{(2n)!}z^{2n}+\cdots,}}$

Constraint(s)

${\displaystyle{\displaystyle|z|<\frac{1}{2}\pi}}$

Symbols List

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

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