DLMF:18.15.E9 (Q5701): 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

Latest revision as of 15:37, 2 January 2020

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DLMF:18.15.E9
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    Statements

    Defining formula
    g ⁢ ( θ ) = ( 1 4 - α 2 ) ⁢ ( cot ⁡ ( 1 2 ⁢ θ ) - ( 1 2 ⁢ θ ) - 1 ) - ( 1 4 - β 2 ) ⁢ tan ⁡ ( 1 2 ⁢ θ ) . 𝑔 𝜃 1 4 superscript 𝛼 2 1 2 𝜃 superscript 1 2 𝜃 1 1 4 superscript 𝛽 2 1 2 𝜃 {\displaystyle{\displaystyle g(\theta)=\left(\tfrac{1}{4}-\alpha^{2}\right)% \left(\cot\left(\tfrac{1}{2}\theta\right)-\left(\tfrac{1}{2}\theta\right)^{-1}% \right)-\left(\tfrac{1}{4}-\beta^{2}\right)\tan\left(\tfrac{1}{2}\theta\right)% .}}
    0 references
    DLMF id
    DLMF:18.15.E9
    0 references
    Symbols used
    cotangent function
    Defining formula
    cot ⁡ z 𝑧 {\displaystyle{\displaystyle\cot\NVar{z}}}
    xml-id
    C4.S14.E7.m2adec
    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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