Formula:1845

Digital Library of Mathematical Functions ID 4.19.E3

Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "TeX input is invalid."): {\displaystyle \tan@@{z}=z+\frac{z^{3}}{3}+\frac{2}{15}z^{5}+\frac{17}{315}z^{7}+\cdots+\frac{(-1)^{n-1}2^{2n}(2^{2n}-1)\BernoullinumberB{2n}}{(2n)!}z^{2n-1}+\cdots,}

Constraint(s)

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

Symbols List

• ${\displaystyle{\displaystyle B_{\NVar{n}}}}$:
• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle!}}$:
• Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "TeX input is invalid."): {\displaystyle \tan@@{\NVar{z}}} : tangent function
• ${\displaystyle{\displaystyle n}}$: integer
• ${\displaystyle{\displaystyle z}}$: complex variable
 

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