DLMF:13.20.E5 (Q4594): Difference between revisions

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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.m2acdec

Revision as of 16:14, 2 January 2020

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DLMF:13.20.E5
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    W κ , μ ( x ) = x X ( 2 μ 2 - κ x + μ X ( μ - κ ) x ) μ ( X + x - 2 κ 2 ) κ e - 1 2 X - κ ( 1 + O ( 1 μ ) ) , Whittaker-confluent-hypergeometric-W 𝜅 𝜇 𝑥 𝑥 𝑋 superscript 2 superscript 𝜇 2 𝜅 𝑥 𝜇 𝑋 𝜇 𝜅 𝑥 𝜇 superscript 𝑋 𝑥 2 𝜅 2 𝜅 superscript 𝑒 1 2 𝑋 𝜅 1 Big-O 1 𝜇 {\displaystyle{\displaystyle W_{\kappa,\mu}\left(x\right)=\sqrt{\frac{x}{X}}\*% \left(\frac{2\mu^{2}-\kappa x+\mu X}{(\mu-\kappa)x}\right)^{\mu}\*\left(\frac{% X+x-2\kappa}{2}\right)^{\kappa}\*e^{-\frac{1}{2}X-\kappa}\*\left(1+O\left(% \frac{1}{\mu}\right)\right),}}
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    DLMF:13.20.E5
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    O ( x ) Big-O 𝑥 {\displaystyle{\displaystyle O\left(\NVar{x}\right)}}
    C2.S1.E3.m2acdec
    0 references