DLMF:31.5.E2 (Q9022)

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DLMF:31.5.E2
No description defined

    Statements

    Defining formula
    𝐻𝑝 n , m ⁡ ( a , q n , m ; - n , β , γ , δ ; z ) = H ⁢ ℓ ⁡ ( a , q n , m ; - n , β , γ , δ ; z ) Heun-polynomial-m 𝑛 𝑚 𝑎 subscript 𝑞 𝑛 𝑚 𝑛 𝛽 𝛾 𝛿 𝑧 Heun-local 𝑎 subscript 𝑞 𝑛 𝑚 𝑛 𝛽 𝛾 𝛿 𝑧 {\displaystyle{\displaystyle\mathit{Hp}_{n,m}\left(a,q_{n,m};-n,\beta,\gamma,% \delta;z\right)=\mathit{H\!\ell}\left(a,q_{n,m};-n,\beta,\gamma,\delta;z\right% )}}
    0 references
    DLMF id
    DLMF:31.5.E2
    0 references
    Symbols used
    Heun functions
    Defining formula
    H ⁢ ℓ ⁡ ( 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}}}
    xml-id
    C31.S3.E1.m2adec
    0 references
    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.m1adec
    0 references
    Q12459
    Defining formula
    δ 𝛿 {\displaystyle{\displaystyle\delta}}
    xml-id
    C31.S1.XMD11.m1dec
    0 references
    Q12483
    Defining formula
    m 𝑚 {\displaystyle{\displaystyle m}}
    xml-id
    C31.S1.XMD4.m1dec
    0 references
    Q12484
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C31.S1.XMD5.m1adec
    0 references
    Q12461
    Defining formula
    a 𝑎 {\displaystyle{\displaystyle a}}
    xml-id
    C31.S1.XMD6.m1adec
    0 references
    Q12462
    Defining formula
    q 𝑞 {\displaystyle{\displaystyle q}}
    xml-id
    C31.S1.XMD7.m1dec
    0 references
    Q12464
    Defining formula
    β 𝛽 {\displaystyle{\displaystyle\beta}}
    xml-id
    C31.S1.XMD9.m1dec
    0 references
     
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