DLMF:12.8.E10 (Q4147): Difference between revisions

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Changed an Item: Add constraint
Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: base of natural logarithm / rank
 
Normal rank
Property / Symbols used: base of natural logarithm / qualifier
 
Defining formula:

e {\displaystyle{\displaystyle\mathrm{e}}}

\expe
Property / Symbols used: base of natural logarithm / qualifier
 
xml-id: C4.S2.E11.m2aadec

Revision as of 15:14, 2 January 2020

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DLMF:12.8.E10
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    Statements

    d m d z m ( e - 1 4 z 2 U ( a , z ) ) = ( - 1 ) m e - 1 4 z 2 U ( a - m , z ) , derivative 𝑧 𝑚 superscript 𝑒 1 4 superscript 𝑧 2 parabolic-U 𝑎 𝑧 superscript 1 𝑚 superscript 𝑒 1 4 superscript 𝑧 2 parabolic-U 𝑎 𝑚 𝑧 {\displaystyle{\displaystyle\frac{{\mathrm{d}}^{m}}{{\mathrm{d}z}^{m}}\left(e^% {-\frac{1}{4}z^{2}}U\left(a,z\right)\right)=(-1)^{m}e^{-\frac{1}{4}z^{2}}U% \left(a-m,z\right),}}
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    DLMF:12.8.E10
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    d f d x derivative 𝑓 𝑥 {\displaystyle{\displaystyle\frac{\mathrm{d}\NVar{f}}{\mathrm{d}\NVar{x}}}}
    C1.S4.E4.m2aadec
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    e {\displaystyle{\displaystyle\mathrm{e}}}
    C4.S2.E11.m2aadec
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