DLMF:4.28.E10 (Q1847): Difference between revisions

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

tan ⁡ z 𝑧 {\displaystyle{\displaystyle\tan\NVar{z}}}

\tan@@{\NVar{z}}
Property / Symbols used: tangent function / qualifier
 
xml-id: C4.S14.E4.m2adec

Revision as of 19:05, 1 January 2020

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DLMF:4.28.E10
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    Statements

    Defining formula
    tan ⁡ ( i ⁢ z ) = i ⁢ tanh ⁡ z , 𝑖 𝑧 𝑖 𝑧 {\displaystyle{\displaystyle\tan\left(iz\right)=i\tanh z,}}
    0 references
    DLMF id
    DLMF:4.28.E10
    0 references
    Symbols used
    hyperbolic tangent function
    Defining formula
    tanh ⁡ z 𝑧 {\displaystyle{\displaystyle\tanh\NVar{z}}}
    xml-id
    C4.S28.E4.m2abdec
    0 references
    imaginary unit
    Defining formula
    i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}
    xml-id
    C1.S9.E1.m2abdec
    0 references
    tangent function
    Defining formula
    tan ⁡ z 𝑧 {\displaystyle{\displaystyle\tan\NVar{z}}}
    xml-id
    C4.S14.E4.m2adec
    0 references
     
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