Formula:4696

Digital Library of Mathematical Functions ID 11.7.E9

${\displaystyle{\displaystyle\int_{0}^{\infty}\mathbf{H}_{\nu}\left(t\right)\mathrm{d}t=-\cot\left(\tfrac{1}{2}\pi\nu\right),}}$

Constraint(s)

${\displaystyle{\displaystyle-2<\Re\nu<0}}$

Symbols List

• ${\displaystyle{\displaystyle\mathbf{H}_{\NVar{\nu}}\left(\NVar{z}\right)}}$: Struve function
• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle\cot\NVar{z}}}$: cotangent function
• ${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$: differential of x
• ${\displaystyle{\displaystyle\int}}$: integral
• ${\displaystyle{\displaystyle\Re}}$: real part
• ${\displaystyle{\displaystyle\nu}}$: real or complex order
 

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