DLMF:30.8.E8 (Q8874): Difference between revisions

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Created a new Item: Wikidata Toolkit example test item creation
 
Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: order not exceeding / rank
 
Normal rank
Property / Symbols used: order not exceeding / qualifier
 
Defining formula:

O ( x ) Big-O 𝑥 {\displaystyle{\displaystyle O\left(\NVar{x}\right)}}

\bigO@{\NVar{x}}
Property / Symbols used: order not exceeding / qualifier
 
xml-id: C2.S1.E3.m2aadec

Revision as of 01:46, 2 January 2020

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DLMF:30.8.E8
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    Statements

    λ n m ( γ 2 ) - B k A k a n , k m ( γ 2 ) a n , k - 1 m ( γ 2 ) = 1 + O ( 1 k 4 ) . spheroidal-eigenvalue-lambda 𝑚 𝑛 superscript 𝛾 2 subscript 𝐵 𝑘 subscript 𝐴 𝑘 subscript superscript 𝑎 𝑚 𝑛 𝑘 superscript 𝛾 2 subscript superscript 𝑎 𝑚 𝑛 𝑘 1 superscript 𝛾 2 1 Big-O 1 superscript 𝑘 4 {\displaystyle{\displaystyle\frac{\lambda^{m}_{n}\left(\gamma^{2}\right)-B_{k}% }{A_{k}}\frac{a^{m}_{n,k}(\gamma^{2})}{a^{m}_{n,k-1}(\gamma^{2})}=1+O\left(% \frac{1}{k^{4}}\right).}}
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    DLMF:30.8.E8
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    O ( x ) Big-O 𝑥 {\displaystyle{\displaystyle O\left(\NVar{x}\right)}}
    C2.S1.E3.m2aadec
    0 references