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DLMF:10.47.E1 - MaRDI portal

DLMF:10.47.E1 (Q4366)

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DLMF:10.47.E1
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    Statements

    DLMF defining formula
    z 2 ⁢ d 2 w d z 2 + 2 ⁢ z ⁢ d w d z + ( z 2 - n ⁢ ( n + 1 ) ) ⁢ w = 0 , superscript 𝑧 2 derivative 𝑤 𝑧 2 2 𝑧 derivative 𝑤 𝑧 superscript 𝑧 2 𝑛 𝑛 1 𝑤 0 {\displaystyle{\displaystyle z^{2}\frac{{\mathrm{d}}^{2}w}{{\mathrm{d}z}^{2}}+% 2z\frac{\mathrm{d}w}{\mathrm{d}z}+\left(z^{2}-n(n+1)\right)w=0,}}
    0 references
    Symbols used
    derivative of $$f$$ with respect to $$x$$
    DLMF defining formula
    d f d x derivative 𝑓 𝑥 {\displaystyle{\displaystyle\frac{\mathrm{d}\NVar{f}}{\mathrm{d}\NVar{x}}}}
    xml-id
    C1.S4.E4.m2adec
    0 references
    integer
    DLMF defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C10.S1.XMD2.m1dec
    0 references
    complex variable
    DLMF defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C10.S1.XMD6.m1dec
    0 references

    Identifiers

     
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