DLMF:10.13.E8

MaRDI QIDQ3831

• Label: DLMF:10.13.E8

Digital Library of Mathematical Functions ID 10.13.E8

${\displaystyle{\displaystyle w^{(2n)}=(-1)^{n}\lambda^{2n}z^{-n}w,}}$

Constraint(s)

${\displaystyle{\displaystyle w=z^{\frac{1}{2}n}\mathscr{C}_{n}\left(2\lambda e^{k\pi\mathrm{i}/n}z^{\frac{1}{2}}\right)}}$
${\displaystyle{\displaystyle w=z^{\frac{1}{2}n}\mathscr{C}_{n}\left(2\lambda e^{k\pi\mathrm{i}/n}z^{\frac{1}{missing}\)\@add@PDF@RDFa@triples\end{document}}}}$
${\displaystyle{\displaystyle k=0,1,\ldots,2n-1}}$

Symbols List

• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle\mathscr{C}_{\NVar{\nu}}\left(\NVar{z}\right)}}$: cylinder function
• ${\displaystyle{\displaystyle\mathrm{e}}}$: base of natural logarithm
• ${\displaystyle{\displaystyle\mathrm{i}}}$: imaginary unit
• ${\displaystyle{\displaystyle n}}$: integer
• ${\displaystyle{\displaystyle k}}$: nonnegative integer
• ${\displaystyle{\displaystyle z}}$: complex variable
 

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