DLMF:4.21.E37 (Q1741): Difference between revisions

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

cosh ⁡ z 𝑧 {\displaystyle{\displaystyle\cosh\NVar{z}}}

\cosh@@{\NVar{z}}
Property / Symbols used: hyperbolic cosine function / qualifier
 
xml-id: C4.S28.E2.m2adec

Revision as of 18:27, 1 January 2020

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DLMF:4.21.E37
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    Statements

    Defining formula
    sin ⁡ z = sin ⁡ x ⁢ cosh ⁡ y + i ⁢ cos ⁡ x ⁢ sinh ⁡ y , 𝑧 𝑥 𝑦 imaginary-unit 𝑥 𝑦 {\displaystyle{\displaystyle\sin z=\sin x\cosh y+\mathrm{i}\cos x\sinh y,}}
    0 references
    DLMF id
    DLMF:4.21.E37
    0 references
    Symbols used
    cosine function
    Defining formula
    cos ⁡ z 𝑧 {\displaystyle{\displaystyle\cos\NVar{z}}}
    xml-id
    C4.S14.E2.m2aydec
    0 references
    hyperbolic cosine function
    Defining formula
    cosh ⁡ z 𝑧 {\displaystyle{\displaystyle\cosh\NVar{z}}}
    xml-id
    C4.S28.E2.m2adec
    0 references
     
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