DLMF:31.14.E1 (Q9112): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: derivative of $$f$$ with respect to $$x$$ / rank
 
Normal rank
Property / Symbols used: derivative of $$f$$ with respect to $$x$$ / qualifier
 
Defining formula:

d f d x derivative 𝑓 𝑥 {\displaystyle{\displaystyle\frac{\mathrm{d}\NVar{f}}{\mathrm{d}\NVar{x}}}}

\deriv{\NVar{f}}{\NVar{x}}
Property / Symbols used: derivative of $$f$$ with respect to $$x$$ / qualifier
 
xml-id: C1.S4.E4.m2adec

Revision as of 13:42, 2 January 2020

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DLMF:31.14.E1
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    Statements

    Defining formula
    d 2 w d z 2 + ( ∑ j = 1 N γ j z - a j ) ⁢ d w d z + ( ∑ j = 1 N q j z - a j ) ⁢ w = 0 , derivative 𝑤 𝑧 2 superscript subscript 𝑗 1 𝑁 subscript 𝛾 𝑗 𝑧 subscript 𝑎 𝑗 derivative 𝑤 𝑧 superscript subscript 𝑗 1 𝑁 subscript 𝑞 𝑗 𝑧 subscript 𝑎 𝑗 𝑤 0 {\displaystyle{\displaystyle{\frac{{\mathrm{d}}^{2}w}{{\mathrm{d}z}^{2}}+\left% (\sum_{j=1}^{N}\frac{\gamma_{j}}{z-a_{j}}\right)\frac{\mathrm{d}w}{\mathrm{d}z% }+\left(\sum_{j=1}^{N}\frac{q_{j}}{z-a_{j}}\right)w=0},}}
    0 references
    DLMF id
    DLMF:31.14.E1
    0 references
    constraint
    ∑ j = 1 N q j = 0 superscript subscript 𝑗 1 𝑁 subscript 𝑞 𝑗 0 {\displaystyle{\displaystyle\sum_{j=1}^{N}q_{j}=0}}
    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.m2adec
    0 references
     
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