DLMF:32.2.E4 (Q9157): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q12524 / rank
 
Normal rank
Property / Symbols used: Q12524 / qualifier
 
Defining formula:

α 𝛼 {\displaystyle{\displaystyle\alpha}}

\alpha
Property / Symbols used: Q12524 / qualifier
 
xml-id: C32.S2.XMD1.m1bdec

Revision as of 13:48, 2 January 2020

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DLMF:32.2.E4
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    Statements

    Defining formula
    d 2 w d z 2 = 1 2 ⁢ w ⁢ ( d w d z ) 2 + 3 2 ⁢ w 3 + 4 ⁢ z ⁢ w 2 + 2 ⁢ ( z 2 - α ) ⁢ w + β w , derivative 𝑤 𝑧 2 1 2 𝑤 superscript derivative 𝑤 𝑧 2 3 2 superscript 𝑤 3 4 𝑧 superscript 𝑤 2 2 superscript 𝑧 2 𝛼 𝑤 𝛽 𝑤 {\displaystyle{\displaystyle\frac{{\mathrm{d}}^{2}w}{{\mathrm{d}z}^{2}}=\frac{% 1}{2w}\left(\frac{\mathrm{d}w}{\mathrm{d}z}\right)^{2}+\frac{3}{2}w^{3}+4zw^{2% }+2(z^{2}-\alpha)w+\frac{\beta}{w},}}
    0 references
    DLMF id
    DLMF:32.2.E4
    0 references
    Symbols used
    derivative of $$f$$ with respect to $$x$$
    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.m2acdec
    0 references
    Q12523
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C32.S1.XMD4.m1cdec
    0 references
    Q12524
    Defining formula
    α 𝛼 {\displaystyle{\displaystyle\alpha}}
    xml-id
    C32.S2.XMD1.m1bdec
    0 references
     
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