DLMF:30.6.E3 (Q8862): Difference between revisions

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Property / Symbols used: Q10865 / rank
 
Normal rank
Property / Symbols used: Q10865 / qualifier
 
Defining formula:

𝒲 Wronskian {\displaystyle{\displaystyle\mathscr{W}}}

\Wronskian
Property / Symbols used: Q10865 / qualifier
 
xml-id: C1.S13.Px2.p1.m3adec

Revision as of 01:44, 2 January 2020

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DLMF:30.6.E3
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    Statements

    𝒲 { 𝑃𝑠 n m ( z , γ 2 ) , 𝑄𝑠 n m ( z , γ 2 ) } = ( - 1 ) m ( n + m ) ! ( 1 - z 2 ) ( n - m ) ! A n m ( γ 2 ) A n - m ( γ 2 ) , Wronskian spheroidal-wave-Ps 𝑚 𝑛 𝑧 superscript 𝛾 2 spheroidal-wave-Qs 𝑚 𝑛 𝑧 superscript 𝛾 2 superscript 1 𝑚 𝑛 𝑚 1 superscript 𝑧 2 𝑛 𝑚 superscript subscript 𝐴 𝑛 𝑚 superscript 𝛾 2 superscript subscript 𝐴 𝑛 𝑚 superscript 𝛾 2 {\displaystyle{\displaystyle\mathscr{W}\left\{\mathit{Ps}^{m}_{n}\left(z,% \gamma^{2}\right),\mathit{Qs}^{m}_{n}\left(z,\gamma^{2}\right)\right\}=\frac{(% -1)^{m}(n+m)!}{(1-z^{2})(n-m)!}A_{n}^{m}(\gamma^{2})A_{n}^{-m}(\gamma^{2}),}}
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    DLMF:30.6.E3
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    𝒲 Wronskian {\displaystyle{\displaystyle\mathscr{W}}}
    C1.S13.Px2.p1.m3adec
    0 references