DLMF:4.28.E3 (Q1840): Difference between revisions

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

sinh ⁡ z 𝑧 {\displaystyle{\displaystyle\sinh\NVar{z}}}

\sinh@@{\NVar{z}}
Property / Symbols used: hyperbolic sine function / qualifier
 
xml-id: C4.S28.E1.m2aadec

Revision as of 18:04, 1 January 2020

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DLMF:4.28.E3
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    Statements

    test
    cosh ⁡ z ± sinh ⁡ z = e ± z , plus-or-minus 𝑧 𝑧 superscript 𝑒 plus-or-minus 𝑧 {\displaystyle{\displaystyle\cosh z\pm\sinh z=e^{\pm z},}}
    0 references
    DLMF id
    DLMF:4.28.E3
    0 references
    Symbols used
    base of natural logarithm
    test
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2abdec
    0 references
    hyperbolic cosine function
    test
    cosh ⁡ z 𝑧 {\displaystyle{\displaystyle\cosh\NVar{z}}}
    xml-id
    C4.S28.E2.m2aadec
    0 references
    hyperbolic sine function
    test
    sinh ⁡ z 𝑧 {\displaystyle{\displaystyle\sinh\NVar{z}}}
    xml-id
    C4.S28.E1.m2aadec
    0 references
     
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