DLMF:30.4.E3 (Q8847)

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DLMF:30.4.E3
No description defined

    Statements

    Defining formula
    𝖯𝗌 n m ⁡ ( - x , γ 2 ) = ( - 1 ) n - m ⁢ 𝖯𝗌 n m ⁡ ( x , γ 2 ) . spheroidal-wave-on-cut-Ps 𝑚 𝑛 𝑥 superscript 𝛾 2 superscript 1 𝑛 𝑚 spheroidal-wave-on-cut-Ps 𝑚 𝑛 𝑥 superscript 𝛾 2 {\displaystyle{\displaystyle\mathsf{Ps}^{m}_{n}\left(-x,\gamma^{2}\right)=(-1)% ^{n-m}\mathsf{Ps}^{m}_{n}\left(x,\gamma^{2}\right).}}
    0 references
    DLMF id
    DLMF:30.4.E3
    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.m1abdec
    0 references
    Q12419
    Defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C30.S1.XMD2.m1bdec
    0 references
    Q12408
    Defining formula
    m 𝑚 {\displaystyle{\displaystyle m}}
    xml-id
    C30.S1.XMD4.m1bdec
    0 references
    Q12409
    Defining formula
    n ≥ m 𝑛 𝑚 {\displaystyle{\displaystyle n\geq m}}
    xml-id
    C30.S1.XMD5.m1bdec
    0 references
    Q12404
    Defining formula
    γ 2 superscript 𝛾 2 {\displaystyle{\displaystyle\gamma^{2}}}
    xml-id
    C30.S2.XMD3.m1adec
    0 references
     
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