DLMF:10.21.E17 (Q3301): Difference between revisions

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Changed an Item: Add constraint
Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: Q10770 / rank
 
Normal rank
Property / Symbols used: Q10770 / qualifier
 
Defining formula:

d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}

\diff{\NVar{x}}
Property / Symbols used: Q10770 / qualifier
 
xml-id: C1.S4.SS4.m1adec

Revision as of 15:42, 2 January 2020

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DLMF:10.21.E17
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    Statements

    d c d ν = 2 c 0 K 0 ( 2 c sinh t ) e - 2 ν t d t , derivative 𝑐 𝜈 2 𝑐 superscript subscript 0 modified-Bessel-second-kind 0 2 𝑐 𝑡 superscript 𝑒 2 𝜈 𝑡 𝑡 {\displaystyle{\displaystyle\frac{\mathrm{d}c}{\mathrm{d}\nu}=2c\int_{0}^{% \infty}K_{0}\left(2c\sinh t\right)e^{-2\nu t}\mathrm{d}t,}}
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    DLMF:10.21.E17
    0 references
    d f d x derivative 𝑓 𝑥 {\displaystyle{\displaystyle\frac{\mathrm{d}\NVar{f}}{\mathrm{d}\NVar{x}}}}
    C1.S4.E4.m2abdec
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    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    C1.S4.SS4.m1adec
    0 references