DLMF:13.14.E15 (Q4504): Difference between revisions

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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 16:06, 2 January 2020

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DLMF:13.14.E15
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    Statements

    W 1 2 ± μ + n , μ ( z ) = ( - 1 ) n ( 1 ± 2 μ ) n z 1 2 ± μ + O ( z 3 2 ± μ ) . Whittaker-confluent-hypergeometric-W plus-or-minus 1 2 𝜇 𝑛 𝜇 𝑧 superscript 1 𝑛 Pochhammer plus-or-minus 1 2 𝜇 𝑛 superscript 𝑧 plus-or-minus 1 2 𝜇 Big-O superscript 𝑧 plus-or-minus 3 2 𝜇 {\displaystyle{\displaystyle W_{\frac{1}{2}\pm\mu+n,\mu}\left(z\right)=(-1)^{n% }{\left(1\pm 2\mu\right)_{n}}z^{\frac{1}{2}\pm\mu}+O\left(z^{\frac{3}{2}\pm\mu% }\right).}}
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    DLMF:13.14.E15
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    O ( x ) Big-O 𝑥 {\displaystyle{\displaystyle O\left(\NVar{x}\right)}}
    C2.S1.E3.m2aadec
    0 references