DLMF:30.13.E14 (Q8927): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q12441 / rank
 
Normal rank
Property / Symbols used: Q12441 / qualifier
 
Defining formula:

w j subscript 𝑤 𝑗 {\displaystyle{\displaystyle w_{j}}}

w_{j}
Property / Symbols used: Q12441 / qualifier
 
xml-id: C30.S13.XMD7.m1gdec
Property / Symbols used
 
Property / Symbols used: Q12442 / rank
 
Normal rank
Property / Symbols used: Q12442 / qualifier
 
Defining formula:

γ 2 = κ 2 ⁢ c 2 superscript 𝛾 2 superscript 𝜅 2 superscript 𝑐 2 {\displaystyle{\displaystyle\gamma^{2}=\kappa^{2}c^{2}}}

\gamma^{2}=\kappa^{2}c^{2}
Property / Symbols used: Q12442 / qualifier
 
xml-id: C30.S13.XMD8.m1cdec
Property / Symbols used
 
Property / Symbols used: Q12444 / rank
 
Normal rank
Property / Symbols used: Q12444 / qualifier
 
Defining formula:

a j subscript 𝑎 𝑗 {\displaystyle{\displaystyle a_{j}}}

a_{j}
Property / Symbols used: Q12444 / qualifier
 
xml-id: C30.S13.XMD9.m1bdec

Latest revision as of 13:20, 2 January 2020

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DLMF:30.13.E14
No description defined

    Statements

    Defining formula
    w 1 ⁢ ( ξ ) = a 1 ⁢ S n m ⁢ ( 1 ) ⁡ ( ξ , γ ) + b 1 ⁢ S n m ⁢ ( 2 ) ⁡ ( ξ , γ ) . subscript 𝑤 1 𝜉 subscript 𝑎 1 radial-spheroidal-wave-S 𝑚 1 𝑛 𝜉 𝛾 subscript 𝑏 1 radial-spheroidal-wave-S 𝑚 2 𝑛 𝜉 𝛾 {\displaystyle{\displaystyle w_{1}(\xi)=a_{1}S^{m(1)}_{n}\left(\xi,\gamma% \right)+b_{1}S^{m(2)}_{n}\left(\xi,\gamma\right).}}
    0 references
    DLMF id
    DLMF:30.13.E14
    0 references
    Symbols used
    radial spheroidal wave function
    Defining formula
    S n m ⁢ ( j ) ⁡ ( z , γ ) radial-spheroidal-wave-S 𝑚 𝑗 𝑛 𝑧 𝛾 {\displaystyle{\displaystyle S^{\NVar{m}(\NVar{j})}_{\NVar{n}}\left(\NVar{z},% \NVar{\gamma}\right)}}
    xml-id
    C30.S11.E3.m2adec
    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.m1adec
    0 references
    Q12436
    Defining formula
    ξ 𝜉 {\displaystyle{\displaystyle\xi}}
    xml-id
    C30.S13.XMD1.m1hdec
    0 references
    Q12443
    Defining formula
    b j subscript 𝑏 𝑗 {\displaystyle{\displaystyle b_{j}}}
    xml-id
    C30.S13.XMD10.m1bdec
    0 references
    Q12441
    Defining formula
    w j subscript 𝑤 𝑗 {\displaystyle{\displaystyle w_{j}}}
    xml-id
    C30.S13.XMD7.m1gdec
    0 references
    Q12442
    Defining formula
    γ 2 = κ 2 ⁢ c 2 superscript 𝛾 2 superscript 𝜅 2 superscript 𝑐 2 {\displaystyle{\displaystyle\gamma^{2}=\kappa^{2}c^{2}}}
    xml-id
    C30.S13.XMD8.m1cdec
    0 references
    Q12444
    Defining formula
    a j subscript 𝑎 𝑗 {\displaystyle{\displaystyle a_{j}}}
    xml-id
    C30.S13.XMD9.m1bdec
    0 references
     
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