DLMF:30.8.E4 (Q8870): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q12426 / rank
 
Normal rank
Property / Symbols used: Q12426 / qualifier
 
Defining formula:

B k subscript 𝐵 𝑘 {\displaystyle{\displaystyle B_{k}}}

B_{k}
Property / Symbols used: Q12426 / qualifier
 
xml-id: C30.S8.XMD4.m1adec
Property / Symbols used
 
Property / Symbols used: Q12427 / rank
 
Normal rank
Property / Symbols used: Q12427 / qualifier
 
Defining formula:

C k subscript 𝐶 𝑘 {\displaystyle{\displaystyle C_{k}}}

C_{k}
Property / Symbols used: Q12427 / qualifier
 
xml-id: C30.S8.XMD5.m1adec

Latest revision as of 01:46, 2 January 2020

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DLMF:30.8.E4
No description defined

    Statements

    Defining formula
    A k ⁢ f k - 1 + ( B k - λ n m ⁡ ( γ 2 ) ) ⁢ f k + C k ⁢ f k + 1 = 0 , subscript 𝐴 𝑘 subscript 𝑓 𝑘 1 subscript 𝐵 𝑘 spheroidal-eigenvalue-lambda 𝑚 𝑛 superscript 𝛾 2 subscript 𝑓 𝑘 subscript 𝐶 𝑘 subscript 𝑓 𝑘 1 0 {\displaystyle{\displaystyle A_{k}f_{k-1}+\left(B_{k}-\lambda^{m}_{n}\left(% \gamma^{2}\right)\right)f_{k}+C_{k}f_{k+1}=0,}}
    0 references
    DLMF id
    DLMF:30.8.E4
    0 references
    Symbols used
    Q12407
    Defining formula
    λ n m ⁡ ( γ 2 ) spheroidal-eigenvalue-lambda 𝑚 𝑛 superscript 𝛾 2 {\displaystyle{\displaystyle\lambda^{\NVar{m}}_{\NVar{n}}\left(\NVar{\gamma^{2% }}\right)}}
    xml-id
    C30.S3.SS1.p1.m2adec
    0 references
    Q12408
    Defining formula
    m 𝑚 {\displaystyle{\displaystyle m}}
    xml-id
    C30.S1.XMD4.m1cdec
    0 references
    Q12409
    Defining formula
    n ≥ m 𝑛 𝑚 {\displaystyle{\displaystyle n\geq m}}
    xml-id
    C30.S1.XMD5.m1cdec
    0 references
    Q12404
    Defining formula
    γ 2 superscript 𝛾 2 {\displaystyle{\displaystyle\gamma^{2}}}
    xml-id
    C30.S2.XMD3.m1cdec
    0 references
    Q12425
    Defining formula
    A k subscript 𝐴 𝑘 {\displaystyle{\displaystyle A_{k}}}
    xml-id
    C30.S8.XMD3.m1adec
    0 references
    Q12426
    Defining formula
    B k subscript 𝐵 𝑘 {\displaystyle{\displaystyle B_{k}}}
    xml-id
    C30.S8.XMD4.m1adec
    0 references
    Q12427
    Defining formula
    C k subscript 𝐶 𝑘 {\displaystyle{\displaystyle C_{k}}}
    xml-id
    C30.S8.XMD5.m1adec
    0 references
     
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