DLMF:31.2.E1 (Q8976): Difference between revisions

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Property / constraint
 

α + β + 1 = γ + δ + ϵ 𝛼 𝛽 1 𝛾 𝛿 italic-ϵ {\displaystyle{\displaystyle\alpha+\beta+1=\gamma+\delta+\epsilon}}

\alpha+\beta+1=\gamma+\delta+\epsilon
Property / constraint: α + β + 1 = γ + δ + ϵ 𝛼 𝛽 1 𝛾 𝛿 italic-ϵ {\displaystyle{\displaystyle\alpha+\beta+1=\gamma+\delta+\epsilon}} / rank
 
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Revision as of 18:26, 30 December 2019

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DLMF:31.2.E1
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    Statements

    d 2 w d z 2 + ( γ z + δ z - 1 + ϵ z - a ) d w d z + α β z - q z ( z - 1 ) ( z - a ) w = 0 , derivative 𝑤 𝑧 2 𝛾 𝑧 𝛿 𝑧 1 italic-ϵ 𝑧 𝑎 derivative 𝑤 𝑧 𝛼 𝛽 𝑧 𝑞 𝑧 𝑧 1 𝑧 𝑎 𝑤 0 {\displaystyle{\displaystyle\frac{{\mathrm{d}}^{2}w}{{\mathrm{d}z}^{2}}+\left(% \frac{\gamma}{z}+\frac{\delta}{z-1}+\frac{\epsilon}{z-a}\right)\frac{\mathrm{d% }w}{\mathrm{d}z}+\frac{\alpha\beta z-q}{z(z-1)(z-a)}w=0,}}
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    α + β + 1 = γ + δ + ϵ 𝛼 𝛽 1 𝛾 𝛿 italic-ϵ {\displaystyle{\displaystyle\alpha+\beta+1=\gamma+\delta+\epsilon}}
    0 references