DLMF:31.9.E3 (Q9045)

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DLMF:31.9.E3
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    θ m = ( 1 - e 2 π i γ ) ( 1 - e 2 π i δ ) ζ γ ( 1 - ζ ) δ ( ζ - a ) ϵ f 0 ( q , ζ ) f 1 ( q , ζ ) q 𝒲 { f 0 ( q , ζ ) , f 1 ( q , ζ ) } | q = q m , subscript 𝜃 𝑚 evaluated-at 1 2 𝜋 𝑖 𝛾 1 2 𝜋 𝑖 𝛿 superscript 𝜁 𝛾 superscript 1 𝜁 𝛿 superscript 𝜁 𝑎 italic-ϵ subscript 𝑓 0 𝑞 𝜁 subscript 𝑓 1 𝑞 𝜁 partial-derivative 𝑞 Wronskian subscript 𝑓 0 𝑞 𝜁 subscript 𝑓 1 𝑞 𝜁 𝑞 subscript 𝑞 𝑚 {\displaystyle{\displaystyle\theta_{m}=(1-{\mathrm{e}^{2\pi i\gamma}})(1-{% \mathrm{e}^{2\pi i\delta}})\zeta^{\gamma}(1-\zeta)^{\delta}(\zeta-a)^{\epsilon% }\*\frac{f_{0}(q,\zeta)}{f_{1}(q,\zeta)}\left.\frac{\partial}{\partial q}% \mathscr{W}\left\{f_{0}(q,\zeta),f_{1}(q,\zeta)\right\}\right|_{q=q_{m}},}}
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    DLMF:31.9.E3
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