DLMF:13.15.E11 (Q4536): 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: 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.m2acdec

Revision as of 16:08, 2 January 2020

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DLMF:13.15.E11
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    Statements

    W κ + 1 , μ ( z ) + ( 2 κ - z ) W κ , μ ( z ) + ( κ - μ - 1 2 ) ( κ + μ - 1 2 ) W κ - 1 , μ ( z ) = 0 , Whittaker-confluent-hypergeometric-W 𝜅 1 𝜇 𝑧 2 𝜅 𝑧 Whittaker-confluent-hypergeometric-W 𝜅 𝜇 𝑧 𝜅 𝜇 1 2 𝜅 𝜇 1 2 Whittaker-confluent-hypergeometric-W 𝜅 1 𝜇 𝑧 0 {\displaystyle{\displaystyle W_{\kappa+1,\mu}\left(z\right)+(2\kappa-z)W_{% \kappa,\mu}\left(z\right)+(\kappa-\mu-\tfrac{1}{2})(\kappa+\mu-\tfrac{1}{2})W_% {\kappa-1,\mu}\left(z\right)=0,}}
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    DLMF:13.15.E11
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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.m2acdec
    0 references