DLMF:30.13.E13 (Q8926): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q12443 / rank
 
Normal rank
Property / Symbols used: Q12443 / qualifier
 
Defining formula:

b j subscript 𝑏 𝑗 {\displaystyle{\displaystyle b_{j}}}

b_{j}
Property / Symbols used: Q12443 / qualifier
 
xml-id: C30.S13.XMD10.m1adec

Revision as of 01:53, 2 January 2020

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DLMF:30.13.E13
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    Statements

    Defining formula
    w 2 ⁢ ( η ) = a 2 ⁢ 𝖯𝗌 n m ⁡ ( η , γ 2 ) + b 2 ⁢ 𝖰𝗌 n m ⁡ ( η , γ 2 ) . subscript 𝑤 2 𝜂 subscript 𝑎 2 spheroidal-wave-on-cut-Ps 𝑚 𝑛 𝜂 superscript 𝛾 2 subscript 𝑏 2 spheroidal-wave-on-cut-Qs 𝑚 𝑛 𝜂 superscript 𝛾 2 {\displaystyle{\displaystyle w_{2}(\eta)=a_{2}\mathsf{Ps}^{m}_{n}\left(\eta,% \gamma^{2}\right)+b_{2}\mathsf{Qs}^{m}_{n}\left(\eta,\gamma^{2}\right).}}
    0 references
    DLMF id
    DLMF:30.13.E13
    0 references
    Symbols used
    Q12418
    Defining formula
    𝖯𝗌 n m ⁡ ( x , γ 2 ) spheroidal-wave-on-cut-Ps 𝑚 𝑛 𝑥 superscript 𝛾 2 {\displaystyle{\displaystyle\mathsf{Ps}^{\NVar{m}}_{\NVar{n}}\left(\NVar{x},% \NVar{\gamma^{2}}\right)}}
    xml-id
    C30.S4.SS1.m1adec
    0 references
    Q12421
    Defining formula
    𝖰𝗌 n m ⁡ ( x , γ 2 ) spheroidal-wave-on-cut-Qs 𝑚 𝑛 𝑥 superscript 𝛾 2 {\displaystyle{\displaystyle\mathsf{Qs}^{\NVar{m}}_{\NVar{n}}\left(\NVar{x},% \NVar{\gamma^{2}}\right)}}
    xml-id
    C30.S5.m1adec
    0 references
    Q12408
    Defining formula
    m 𝑚 {\displaystyle{\displaystyle m}}
    xml-id
    C30.S1.XMD4.m1adec
    0 references
    Q12409
    Defining formula
    n ≥ m 𝑛 𝑚 {\displaystyle{\displaystyle n\geq m}}
    xml-id
    C30.S1.XMD5.m1dec
    0 references
    Q12443
    Defining formula
    b j subscript 𝑏 𝑗 {\displaystyle{\displaystyle b_{j}}}
    xml-id
    C30.S13.XMD10.m1adec
    0 references
     
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