Formula:9554

Digital Library of Mathematical Functions ID 30.6.E3

Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "TeX input is invalid."): {\displaystyle \Wronskian@{\sphwavePs{m}{n}@{z}{\gamma^{2}},\sphwaveQs{m}{n}@{z}{\gamma^{2}}}=\frac{(-1)^{m}(n+m)!}{(1-z^{2})(n-m)!}A_{n}^{m}(\gamma^{2})A_{n}^{-m}(\gamma^{2}),}

Symbols List

• ${\displaystyle{\displaystyle\mathscr{W}}}$: Wronskian
• ${\displaystyle{\displaystyle!}}$:
• ${\displaystyle{\displaystyle\mathit{Ps}^{\NVar{m}}_{\NVar{n}}\left(\NVar{z},\NVar{\gamma^{2}}\right)}}$: spheroidal wave function of complex argument
• ${\displaystyle{\displaystyle\mathit{Qs}^{\NVar{m}}_{\NVar{n}}\left(\NVar{z},\NVar{\gamma^{2}}\right)}}$: spheroidal wave function of complex argument
• ${\displaystyle{\displaystyle z}}$: complex variable
• ${\displaystyle{\displaystyle m}}$: nonnegative integer
• ${\displaystyle{\displaystyle n\geq m}}$: integer degree
• ${\displaystyle{\displaystyle A_{n}^{m}(\gamma^{2})}}$: 30.11.E4
• ${\displaystyle{\displaystyle\gamma^{2}}}$: real parameter
 

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