DLMF:31.3.E9 (Q9013): 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: Heun functions / rank
 
Normal rank
Property / Symbols used: Heun functions / qualifier
 
Defining formula:

H ( a , q ; α , β , γ , missing ; missing ) Heun-local 𝑎 𝑞 𝛼 𝛽 𝛾 missing missing {\displaystyle{\displaystyle\mathit{H\!\ell}\left(\NVar{a},\NVar{q};\NVar{% \alpha},\NVar{\beta},\NVar{\gamma},\NVar{missing};missing\right)\)\@add@PDF@RDFa@triples\end{document}}}

\HeunHl@{\NVar{a}}{\NVar{q}}{\NVar{\alpha}}{\NVar{\beta}}{\NVar{\gamma}}{\NVar% {\delta}}{\NVar{z}}
Property / Symbols used: Heun functions / qualifier
 
xml-id: C31.S3.E1.m2aedec

Revision as of 13:29, 2 January 2020

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DLMF:31.3.E9
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    Statements

    ( a - z a - 1 ) 1 - ϵ H ( a a - 1 , ( a ( δ + γ ) - γ ) ( 1 - ϵ ) a - 1 + α β a - q a - 1 ; α + 1 - ϵ , β + 1 - ϵ , 2 - ϵ , δ ; a - z a - 1 ) . superscript 𝑎 𝑧 𝑎 1 1 italic-ϵ Heun-local 𝑎 𝑎 1 𝑎 𝛿 𝛾 𝛾 1 italic-ϵ 𝑎 1 𝛼 𝛽 𝑎 𝑞 𝑎 1 𝛼 1 italic-ϵ 𝛽 1 italic-ϵ 2 italic-ϵ 𝛿 𝑎 𝑧 𝑎 1 {\displaystyle{\displaystyle\left(\frac{a-z}{a-1}\right)^{1-\epsilon}\mathit{H% \!\ell}\left(\frac{a}{a-1},\frac{(a(\delta+\gamma)-\gamma)(1-\epsilon)}{a-1}+% \frac{\alpha\beta a-q}{a-1};\alpha+1-\epsilon,\beta+1-\epsilon,2-\epsilon,% \delta;\frac{a-z}{a-1}\right).}}
    0 references
    DLMF:31.3.E9
    0 references
    H ( a , q ; α , β , γ , missing ; missing ) Heun-local 𝑎 𝑞 𝛼 𝛽 𝛾 missing missing {\displaystyle{\displaystyle\mathit{H\!\ell}\left(\NVar{a},\NVar{q};\NVar{% \alpha},\NVar{\beta},\NVar{\gamma},\NVar{missing};missing\right)\)\@add@PDF@RDFa@triples\end{document}}}
    C31.S3.E1.m2aedec
    0 references