DLMF:20.10.E5 (Q6841)
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English | DLMF:20.10.E5 |
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Statements
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \int_{0}^{\infty}e^{-st}\Jacobithetatau{3}@{\frac{(1+\beta)\pi}{2\ell}}{\frac{i\pi t}{\ell^{2}}}\diff{t}=\int_{0}^{\infty}e^{-st}\Jacobithetatau{4}@{\frac{\beta\pi}{2\ell}}{\frac{i\pi t}{\ell^{2}}}\diff{t}=\frac{\ell}{\sqrt{s}}\cosh@{\beta\sqrt{s}}\csch@{\ell\sqrt{s}}.}
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