DLMF:18.15.E9 (Q5701)

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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)% .}}
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    DLMF id
    DLMF:18.15.E9
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