DLMF:30.16.E4 (Q8964): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: Q10755 / rank
 
Normal rank
Property / Symbols used: Q10755 / qualifier
 
Defining formula:

! {\displaystyle{\displaystyle!}}

!
Property / Symbols used: Q10755 / qualifier
 
xml-id: introduction.Sx4.p1.t1.r15.m5adec

Revision as of 13:24, 2 January 2020

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DLMF:30.16.E4
No description defined

    Statements

    Defining formula
    α p , d - λ n m ⁡ ( γ 2 ) = O ⁡ ( γ 4 ⁢ d 4 2 ⁢ d + 1 ⁢ ( ( m + 2 ⁢ d - 1 ) ! ⁢ ( m + 2 ⁢ d + 1 ) ! ) 2 ) , subscript 𝛼 𝑝 𝑑 spheroidal-eigenvalue-lambda 𝑚 𝑛 superscript 𝛾 2 Big-O superscript 𝛾 4 𝑑 superscript 4 2 𝑑 1 superscript 𝑚 2 𝑑 1 𝑚 2 𝑑 1 2 {\displaystyle{\displaystyle\alpha_{p,d}-\lambda^{m}_{n}\left(\gamma^{2}\right% )=O\left(\frac{\gamma^{4d}}{4^{2d+1}((m+2d-1)!(m+2d+1)!)^{2}}\right),}}
    0 references
    DLMF id
    DLMF:30.16.E4
    0 references
    constraint
    d → ∞ → 𝑑 {\displaystyle{\displaystyle d\to\infty}}
    0 references
    Symbols used
    order not exceeding
    Defining formula
    O ⁡ ( x ) Big-O 𝑥 {\displaystyle{\displaystyle O\left(\NVar{x}\right)}}
    xml-id
    C2.S1.E3.m2adec
    0 references
    Q10755
    Defining formula
    ! {\displaystyle{\displaystyle!}}
    xml-id
    introduction.Sx4.p1.t1.r15.m5adec
    0 references
     
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