DLMF:4.23.E41 (Q1793): Difference between revisions

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Property / constraint
 

- 1 2 π < x < 1 2 π 1 2 𝜋 𝑥 1 2 𝜋 {\displaystyle{\displaystyle-\frac{1}{2}\pi<x<\frac{1}{2}\pi}}

-\frac{1}{2}\pi<x<\frac{1}{2}\pi
Property / constraint: - 1 2 π < x < 1 2 π 1 2 𝜋 𝑥 1 2 𝜋 {\displaystyle{\displaystyle-\frac{1}{2}\pi<x<\frac{1}{2}\pi}} / rank
 
Normal rank

Revision as of 16:01, 30 December 2019

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DLMF:4.23.E41
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    Statements

    gd - 1 ( x ) = 0 x sec t d t , inverse-Gudermannian 𝑥 superscript subscript 0 𝑥 𝑡 𝑡 {\displaystyle{\displaystyle{\operatorname{gd}^{-1}}\left(x\right)=\int_{0}^{x% }\sec t\mathrm{d}t,}}
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    - 1 2 π < x < 1 2 π 1 2 𝜋 𝑥 1 2 𝜋 {\displaystyle{\displaystyle-\frac{1}{2}\pi<x<\frac{1}{2}\pi}}
    0 references