Formula:4673

Digital Library of Mathematical Functions ID 11.5.E9

Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "TeX input is invalid."): {\displaystyle (\tfrac{1}{2}z)^{-\nu-1}\modStruveL{\nu}@{z}=\frac{1}{2\pi i}\int_{\infty}^{(0+)}\frac{\pi\csc@{\pi s}}{\EulerGamma@{\tfrac{3}{2}+s}\EulerGamma@{\tfrac{3}{2}+\nu+s}}(-\tfrac{1}{4}z^{2})^{s}\diff{s}.}

Symbols List

• ${\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}$: gamma function
• Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "TeX input is invalid."): {\displaystyle \cpi} : the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle\csc\NVar{z}}}$: cosecant function
• ${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$: differential of x
• Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "TeX input is invalid."): {\displaystyle \iunit} : imaginary unit
• ${\displaystyle{\displaystyle\int}}$: integral
• ${\displaystyle{\displaystyle\mathbf{L}_{\NVar{\nu}}\left(\NVar{z}\right)}}$: modified Struve function
• ${\displaystyle{\displaystyle z}}$: complex variable
• ${\displaystyle{\displaystyle\nu}}$: real or complex order
 

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