DLMF:31.3.E1 (Q9003): Difference between revisions

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imported>Admin
 
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Property / Symbols used
 
Property / Symbols used: Q12458 / rank
 
Normal rank
Property / Symbols used: Q12458 / qualifier
 
test:

γ 𝛾 {\displaystyle{\displaystyle\gamma}}

\gamma
Property / Symbols used: Q12458 / qualifier
 
xml-id: C31.S1.XMD10.m1dec
Property / Symbols used
 
Property / Symbols used: Q12459 / rank
 
Normal rank
Property / Symbols used: Q12459 / qualifier
 
test:

δ 𝛿 {\displaystyle{\displaystyle\delta}}

\delta
Property / Symbols used: Q12459 / qualifier
 
xml-id: C31.S1.XMD11.m1dec
Property / Symbols used
 
Property / Symbols used: Q12477 / rank
 
Normal rank
Property / Symbols used: Q12477 / qualifier
 
test:

j 𝑗 {\displaystyle{\displaystyle j}}

j
Property / Symbols used: Q12477 / qualifier
 
xml-id: C31.S1.XMD2.m1dec
Property / Symbols used
 
Property / Symbols used: Q12461 / rank
 
Normal rank
Property / Symbols used: Q12461 / qualifier
 
test:

a 𝑎 {\displaystyle{\displaystyle a}}

a
Property / Symbols used: Q12461 / qualifier
 
xml-id: C31.S1.XMD6.m1dec
Property / Symbols used
 
Property / Symbols used: Q12462 / rank
 
Normal rank
Property / Symbols used: Q12462 / qualifier
 
test:

q 𝑞 {\displaystyle{\displaystyle q}}

q
Property / Symbols used: Q12462 / qualifier
 
xml-id: C31.S1.XMD7.m1dec
Property / Symbols used
 
Property / Symbols used: Q12463 / rank
 
Normal rank
Property / Symbols used: Q12463 / qualifier
 
test:

α 𝛼 {\displaystyle{\displaystyle\alpha}}

\alpha
Property / Symbols used: Q12463 / qualifier
 
xml-id: C31.S1.XMD8.m1dec
Property / Symbols used
 
Property / Symbols used: Q12464 / rank
 
Normal rank
Property / Symbols used: Q12464 / qualifier
 
test:

β 𝛽 {\displaystyle{\displaystyle\beta}}

\beta
Property / Symbols used: Q12464 / qualifier
 
xml-id: C31.S1.XMD9.m1dec

Latest revision as of 12:27, 2 January 2020

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Language Label Description Also known as
English
DLMF:31.3.E1
No description defined

    Statements

    H ( a , q ; α , β , γ , δ ; z ) = j = 0 c j z j , Heun-local 𝑎 𝑞 𝛼 𝛽 𝛾 𝛿 𝑧 superscript subscript 𝑗 0 subscript 𝑐 𝑗 superscript 𝑧 𝑗 {\displaystyle{\displaystyle\mathit{H\!\ell}\left(a,q;\alpha,\beta,\gamma,% \delta;z\right)=\sum_{j=0}^{\infty}c_{j}z^{j},}}
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    | z | < 1 𝑧 1 {\displaystyle{\displaystyle|z|<1}}
    0 references
    z 𝑧 {\displaystyle{\displaystyle z}}
    C31.S1.XMD1.m1dec
    0 references
    γ 𝛾 {\displaystyle{\displaystyle\gamma}}
    C31.S1.XMD10.m1dec
    0 references
    δ 𝛿 {\displaystyle{\displaystyle\delta}}
    C31.S1.XMD11.m1dec
    0 references
    j 𝑗 {\displaystyle{\displaystyle j}}
    C31.S1.XMD2.m1dec
    0 references
    a 𝑎 {\displaystyle{\displaystyle a}}
    C31.S1.XMD6.m1dec
    0 references
    q 𝑞 {\displaystyle{\displaystyle q}}
    C31.S1.XMD7.m1dec
    0 references
    α 𝛼 {\displaystyle{\displaystyle\alpha}}
    C31.S1.XMD8.m1dec
    0 references
    β 𝛽 {\displaystyle{\displaystyle\beta}}
    C31.S1.XMD9.m1dec
    0 references