DLMF:14.5.E27 (Q4739)

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DLMF:14.5.E27
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    Defining formula
    𝑸 - 1 2 ⁑ ( cosh ⁑ ΞΎ ) = 2 ⁒ Ο€ - 1 / 2 ⁒ e - ΞΎ / 2 ⁒ K ⁑ ( e - ΞΎ ) . shorthand-associated-Legendre-black-Q 1 2 πœ‰ 2 superscript πœ‹ 1 2 superscript 𝑒 πœ‰ 2 complete-elliptic-integral-first-kind-K superscript 𝑒 πœ‰ {\displaystyle{\displaystyle\boldsymbol{Q}_{-\frac{1}{2}}\left(\cosh\xi\right)% =2\pi^{-1/2}e^{-\xi/2}K\left(e^{-\xi}\right).}}
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    DLMF id
    DLMF:14.5.E27
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