DLMF:4.23.E39 (Q1791): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: hyperbolic secant function / rank
 
Normal rank
Property / Symbols used: hyperbolic secant function / qualifier
 
test:

sech ⁡ z 𝑧 {\displaystyle{\displaystyle\operatorname{sech}\NVar{z}}}

\sech@@{\NVar{z}}
Property / Symbols used: hyperbolic secant function / qualifier
 
xml-id: C4.S28.E6.m2adec

Revision as of 17:36, 1 January 2020

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DLMF:4.23.E39
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    Statements

    test
    gd ⁡ ( x ) = ∫ 0 x sech ⁡ t ⁢ d t , Gudermannian 𝑥 superscript subscript 0 𝑥 𝑡 𝑡 {\displaystyle{\displaystyle\operatorname{gd}\left(x\right)=\int_{0}^{x}% \operatorname{sech}t\mathrm{d}t,}}
    0 references
    DLMF id
    DLMF:4.23.E39
    0 references
    constraint
    - ∞ < x < ∞ 𝑥 {\displaystyle{\displaystyle-\infty<x<\infty}}
    0 references
    Symbols used
    Q10770
    test
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1acdec
    0 references
    hyperbolic secant function
    test
    sech ⁡ z 𝑧 {\displaystyle{\displaystyle\operatorname{sech}\NVar{z}}}
    xml-id
    C4.S28.E6.m2adec
    0 references
     
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