DLMF:31.3.E13 (Q9017): Difference between revisions

From DRMF
Jump to navigation Jump to search
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.m2aidec

Revision as of 13:30, 2 January 2020

No description defined
Language Label Description Also known as
English
DLMF:31.3.E13
No description defined

    Statements

    ( 1 - z ) - α H ( a a - 1 , - q - a α γ a - 1 ; α , α + 1 - δ , γ , α + 1 - β ; z z - 1 ) , superscript 1 𝑧 𝛼 Heun-local 𝑎 𝑎 1 𝑞 𝑎 𝛼 𝛾 𝑎 1 𝛼 𝛼 1 𝛿 𝛾 𝛼 1 𝛽 𝑧 𝑧 1 {\displaystyle{\displaystyle(1-z)^{-\alpha}\*\mathit{H\!\ell}\left(\frac{a}{a-% 1},-\frac{q-a\alpha\gamma}{a-1};\alpha,\alpha+1-\delta,\gamma,\alpha+1-\beta;% \frac{z}{z-1}\right),}}
    0 references
    DLMF:31.3.E13
    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.m2aidec
    0 references