DLMF:13.14.E14 (Q4503): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: order not exceeding / rank
 
Normal rank
Property / Symbols used: order not exceeding / qualifier
 
test:

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.m2adec
Property / Symbols used
 
Property / Symbols used: Whittaker confluent hypergeometric function / rank
 
Normal rank
Property / Symbols used: Whittaker confluent hypergeometric function / qualifier
 
test:

M κ , μ ⁡ ( z ) Whittaker-confluent-hypergeometric-M 𝜅 𝜇 𝑧 {\displaystyle{\displaystyle M_{\NVar{\kappa},\NVar{\mu}}\left(\NVar{z}\right)}}

\WhittakerconfhyperM{\NVar{\kappa}}{\NVar{\mu}}@{\NVar{z}}
Property / Symbols used: Whittaker confluent hypergeometric function / qualifier
 
xml-id: C13.S14.E2.m2agdec

Latest revision as of 15:06, 2 January 2020

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DLMF:13.14.E14
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    Statements

    test
    M κ , μ ⁡ ( z ) = z μ + 1 2 ⁢ ( 1 + O ⁡ ( z ) ) , Whittaker-confluent-hypergeometric-M 𝜅 𝜇 𝑧 superscript 𝑧 𝜇 1 2 1 Big-O 𝑧 {\displaystyle{\displaystyle M_{\kappa,\mu}\left(z\right)=z^{\mu+\frac{1}{2}}% \left(1+O\left(z\right)\right),}}
    0 references
    DLMF id
    DLMF:13.14.E14
    0 references
    constraint
    2 ⁢ μ ≠ - 1 , - 2 , - 3 , … 2 𝜇 1 2 3 … {\displaystyle{\displaystyle 2\mu\neq-1,-2,-3,\dots}}
    0 references
    Symbols used
    order not exceeding
    test
    O ⁡ ( x ) Big-O 𝑥 {\displaystyle{\displaystyle O\left(\NVar{x}\right)}}
    xml-id
    C2.S1.E3.m2adec
    0 references
    Whittaker confluent hypergeometric function
    test
    M κ , μ ⁡ ( z ) Whittaker-confluent-hypergeometric-M 𝜅 𝜇 𝑧 {\displaystyle{\displaystyle M_{\NVar{\kappa},\NVar{\mu}}\left(\NVar{z}\right)}}
    xml-id
    C13.S14.E2.m2agdec
    0 references
     
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