DLMF:31.12.E1 (Q9108): Difference between revisions

From testwiki
Jump to navigation Jump to search
imported>Admin
imported>Admin
 
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

Latest revision as of 12:42, 2 January 2020

No description defined
Language Label Description Also known as
English
DLMF:31.12.E1
No description defined

    Statements

    d 2 w d z 2 + ( γ z + δ z - 1 + ϵ ) d w d z + α z - q z ( z - 1 ) w = 0 . derivative 𝑤 𝑧 2 𝛾 𝑧 𝛿 𝑧 1 italic-ϵ derivative 𝑤 𝑧 𝛼 𝑧 𝑞 𝑧 𝑧 1 𝑤 0 {\displaystyle{\displaystyle\frac{{\mathrm{d}}^{2}w}{{\mathrm{d}z}^{2}}+\left(% \frac{\gamma}{z}+\frac{\delta}{z-1}+\epsilon\right)\frac{\mathrm{d}w}{\mathrm{% d}z}+\frac{\alpha z-q}{z(z-1)}w=0.}}
    0 references
    0 references
    d f d x derivative 𝑓 𝑥 {\displaystyle{\displaystyle\frac{\mathrm{d}\NVar{f}}{\mathrm{d}\NVar{x}}}}
    C1.S4.E4.m2adec
    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
    ϵ italic-ϵ {\displaystyle{\displaystyle\epsilon}}
    C31.S1.XMD12.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