DLMF:4.35.E13 (Q1887): Difference between revisions

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Changed an Item: Add constraint
Changed an Item: Add constraint
 
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Property / Symbols used
 
Property / Symbols used: hyperbolic cotangent function / rank
 
Normal rank
Property / Symbols used: hyperbolic cotangent function / qualifier
 
Defining formula:

coth z hyperbolic-cotangent 𝑧 {\displaystyle{\displaystyle\coth\NVar{z}}}

\coth@@{\NVar{z}}
Property / Symbols used: hyperbolic cotangent function / qualifier
 
xml-id: C4.S28.E7.m2abdec
Property / Symbols used
 
Property / Symbols used: Q11217 / rank
 
Normal rank
Property / Symbols used: Q11217 / qualifier
 
Defining formula:

z 𝑧 {\displaystyle{\displaystyle z}}

z
Property / Symbols used: Q11217 / qualifier
 
xml-id: C4.S1.XMD8.m1bdec

Latest revision as of 19:10, 1 January 2020

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DLMF:4.35.E13
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    Statements

    csch 2 z = coth 2 z - 1 . 2 𝑧 hyperbolic-cotangent 2 𝑧 1 {\displaystyle{\displaystyle{\operatorname{csch}^{2}}z={\coth^{2}}z-1.}}
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    DLMF:4.35.E13
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    csch z 𝑧 {\displaystyle{\displaystyle\operatorname{csch}\NVar{z}}}
    C4.S28.E5.m2adec
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    coth z hyperbolic-cotangent 𝑧 {\displaystyle{\displaystyle\coth\NVar{z}}}
    C4.S28.E7.m2abdec
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    z 𝑧 {\displaystyle{\displaystyle z}}
    C4.S1.XMD8.m1bdec
    0 references