DLMF:10.20.E17 (Q3274): Difference between revisions

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Property / constraint
 

0 τ τ 0 0 𝜏 subscript 𝜏 0 {\displaystyle{\displaystyle 0\leq\tau\leq\tau_{0}}}

0\leq\tau\leq\tau_{0}
Property / constraint: 0 τ τ 0 0 𝜏 subscript 𝜏 0 {\displaystyle{\displaystyle 0\leq\tau\leq\tau_{0}}} / rank
 
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Revision as of 17:18, 30 December 2019

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DLMF:10.20.E17
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    z = ± ( τ coth τ - τ 2 ) 1 2 ± i ( τ 2 - τ tanh τ ) 1 2 , 𝑧 plus-or-minus plus-or-minus superscript 𝜏 hyperbolic-cotangent 𝜏 superscript 𝜏 2 1 2 imaginary-unit superscript superscript 𝜏 2 𝜏 𝜏 1 2 {\displaystyle{\displaystyle z=\pm(\tau\coth\tau-\tau^{2})^{\frac{1}{2}}\pm% \mathrm{i}(\tau^{2}-\tau\tanh\tau)^{\frac{1}{2}},}}
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    0 τ τ 0 0 𝜏 subscript 𝜏 0 {\displaystyle{\displaystyle 0\leq\tau\leq\tau_{0}}}
    0 references