Formula:4646

Digital Library of Mathematical Functions ID 11.4.E17

${\displaystyle{\displaystyle\mathbf{L}_{\nu}\left(ze^{m\pi i}\right)=e^{m\pi i(\nu+1)}\mathbf{L}_{\nu}\left(z\right),}}$

Constraint(s)

${\displaystyle{\displaystyle m\in\mathbb{Z}}}$

Symbols List

• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle\in}}$:
• ${\displaystyle{\displaystyle\mathrm{e}}}$: base of natural logarithm
• ${\displaystyle{\displaystyle\mathrm{i}}}$: imaginary unit
• ${\displaystyle{\displaystyle\mathbb{Z}}}$:
• ${\displaystyle{\displaystyle\mathbf{L}_{\NVar{\nu}}\left(\NVar{z}\right)}}$: modified Struve function
• ${\displaystyle{\displaystyle z}}$: complex variable
• ${\displaystyle{\displaystyle\nu}}$: real or complex order
 

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