DLMF:30.9.E1 (Q8878): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q12407 / rank
 
Normal rank
Property / Symbols used: Q12407 / qualifier
 
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)}}

\spheigvalLambda{\NVar{m}}{\NVar{n}}@{\NVar{\gamma^{2}}}
Property / Symbols used: Q12407 / qualifier
 
xml-id: C30.S3.SS1.p1.m2adec

Revision as of 01:47, 2 January 2020

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DLMF:30.9.E1
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    Statements

    Defining formula
    λ n m ⁡ ( γ 2 ) ∼ - γ 2 + γ ⁢ q + β 0 + β 1 ⁢ γ - 1 + β 2 ⁢ γ - 2 + ⋯ , asymptotic-expansion spheroidal-eigenvalue-lambda 𝑚 𝑛 superscript 𝛾 2 superscript 𝛾 2 𝛾 𝑞 subscript 𝛽 0 subscript 𝛽 1 superscript 𝛾 1 subscript 𝛽 2 superscript 𝛾 2 ⋯ {\displaystyle{\displaystyle\lambda^{m}_{n}\left(\gamma^{2}\right)\sim-\gamma^% {2}+\gamma q+\beta_{0}+\beta_{1}\gamma^{-1}+\beta_{2}\gamma^{-2}+\cdots,}}
    0 references
    DLMF id
    DLMF:30.9.E1
    0 references
    Symbols used
    Q10931
    Defining formula
    ∼ asymptotic-expansion {\displaystyle{\displaystyle\sim}}
    xml-id
    C2.S1.SS3.p1.m11adec
    0 references
    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
     
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