DLMF:9.7.E17 (Q2826)

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DLMF:9.7.E17
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    { 1 , | ph z | 1 3 π , min ( | csc ( ph ζ ) | , χ ( n + σ ) + 1 ) , 1 3 π | ph z | 2 3 π , 2 π ( n + σ ) | cos ( ph ζ ) | n + σ + χ ( n + σ ) + 1 , 2 3 π | ph z | < π , cases 1 phase 𝑧 1 3 phase 𝜁 𝜒 𝑛 𝜎 1 1 3 phase 𝑧 2 3 2 𝑛 𝜎 superscript phase 𝜁 𝑛 𝜎 𝜒 𝑛 𝜎 1 2 3 phase 𝑧 {\displaystyle{\displaystyle\begin{cases}1,&|\operatorname{ph}z|\leq\tfrac{1}{% 3}\pi,\\ \min\left(|\csc\left(\operatorname{ph}\zeta\right)|,\chi(n+\sigma)+1\right),&% \tfrac{1}{3}\pi\leq|\operatorname{ph}z|\leq\tfrac{2}{3}\pi,\\ \frac{\sqrt{2\pi(n+\sigma)}}{|\cos\left(\operatorname{ph}\zeta\right)|^{n+% \sigma}}+\chi(n+\sigma)+1,&\tfrac{2}{3}\pi\leq|\operatorname{ph}z|<\pi,\end{% cases}}}
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    DLMF:9.7.E17
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    π {\displaystyle{\displaystyle\pi}}
    C3.S12.E1.m2andec
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