DLMF:30.3.E4 (Q8827): 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.m2acdec

Revision as of 01:40, 2 January 2020

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DLMF:30.3.E4
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    Statements

    Defining formula
    - 1 < d λ n m ⁡ ( γ 2 ) d ( γ 2 ) < 0 . 1 derivative spheroidal-eigenvalue-lambda 𝑚 𝑛 superscript 𝛾 2 superscript 𝛾 2 0 {\displaystyle{\displaystyle-1<\frac{\mathrm{d}\lambda^{m}_{n}\left(\gamma^{2}% \right)}{\mathrm{d}(\gamma^{2})}<0.}}
    0 references
    DLMF id
    DLMF:30.3.E4
    0 references
    Symbols used
    derivative of $$f$$ with respect to $$x$$
    Defining formula
    d f d x derivative 𝑓 𝑥 {\displaystyle{\displaystyle\frac{\mathrm{d}\NVar{f}}{\mathrm{d}\NVar{x}}}}
    xml-id
    C1.S4.E4.m2adec
    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.m2acdec
    0 references
     
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