DLMF:13.17.E3 (Q4567): Difference between revisions

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Created a new Item: Wikidata Toolkit example test item creation
 
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Property / Symbols used
 
Property / Symbols used: Whittaker confluent hypergeometric function / rank
 
Normal rank
Property / Symbols used: Whittaker confluent hypergeometric function / qualifier
 
Defining formula:

W κ , μ ( z ) Whittaker-confluent-hypergeometric-W 𝜅 𝜇 𝑧 {\displaystyle{\displaystyle W_{\NVar{\kappa},\NVar{\mu}}\left(\NVar{z}\right)}}

\WhittakerconfhyperW{\NVar{\kappa}}{\NVar{\mu}}@{\NVar{z}}
Property / Symbols used: Whittaker confluent hypergeometric function / qualifier
 
xml-id: C13.S14.E3.m2adec

Revision as of 16:12, 2 January 2020

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DLMF:13.17.E3
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    Statements

    W κ , μ ( z ) z W κ - 1 2 , μ - 1 2 ( z ) = 1 + v 1 / z 1 + v 2 / z 1 + , Whittaker-confluent-hypergeometric-W 𝜅 𝜇 𝑧 𝑧 Whittaker-confluent-hypergeometric-W 𝜅 1 2 𝜇 1 2 𝑧 1 continued-fraction subscript 𝑣 1 𝑧 1 continued-fraction subscript 𝑣 2 𝑧 1 {\displaystyle{\displaystyle\frac{W_{\kappa,\mu}\left(z\right)}{\sqrt{z}W_{% \kappa-\frac{1}{2},\mu-\frac{1}{2}}\left(z\right)}=1+\cfrac{v_{1}/z}{1+\cfrac{% v_{2}/z}{1+\cdots}},}}
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    DLMF:13.17.E3
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    W κ , μ ( z ) Whittaker-confluent-hypergeometric-W 𝜅 𝜇 𝑧 {\displaystyle{\displaystyle W_{\NVar{\kappa},\NVar{\mu}}\left(\NVar{z}\right)}}
    C13.S14.E3.m2adec
    0 references