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

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Property / Symbols used
 
Property / Symbols used: Q12478 / rank
 
Normal rank
Property / Symbols used: Q12478 / qualifier
 
Defining formula:

c j subscript 𝑐 𝑗 {\displaystyle{\displaystyle c_{j}}}

c_{j}
Property / Symbols used: Q12478 / qualifier
 
xml-id: C31.S3.XMD1.m1dec

Latest revision as of 13:27, 2 January 2020

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DLMF:31.3.E1
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    Statements

    Defining formula
    H ⁢ ℓ ⁡ ( 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},}}
    0 references
    DLMF id
    DLMF:31.3.E1
    0 references
    constraint
    | z | < 1 𝑧 1 {\displaystyle{\displaystyle|z|<1}}
    0 references
    Symbols used
    Q12457
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C31.S1.XMD1.m1dec
    0 references
    Q12458
    Defining formula
    γ 𝛾 {\displaystyle{\displaystyle\gamma}}
    xml-id
    C31.S1.XMD10.m1dec
    0 references
    Q12459
    Defining formula
    δ 𝛿 {\displaystyle{\displaystyle\delta}}
    xml-id
    C31.S1.XMD11.m1dec
    0 references
    Q12477
    Defining formula
    j 𝑗 {\displaystyle{\displaystyle j}}
    xml-id
    C31.S1.XMD2.m1dec
    0 references
    Q12461
    Defining formula
    a 𝑎 {\displaystyle{\displaystyle a}}
    xml-id
    C31.S1.XMD6.m1dec
    0 references
    Q12462
    Defining formula
    q 𝑞 {\displaystyle{\displaystyle q}}
    xml-id
    C31.S1.XMD7.m1dec
    0 references
    Q12463
    Defining formula
    α 𝛼 {\displaystyle{\displaystyle\alpha}}
    xml-id
    C31.S1.XMD8.m1dec
    0 references
    Q12464
    Defining formula
    β 𝛽 {\displaystyle{\displaystyle\beta}}
    xml-id
    C31.S1.XMD9.m1dec
    0 references
    Q12478
    Defining formula
    c j subscript 𝑐 𝑗 {\displaystyle{\displaystyle c_{j}}}
    xml-id
    C31.S3.XMD1.m1dec
    0 references
     
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