DLMF:12.7.E1 (Q4124): Difference between revisions

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Changed an Item: Add constraint
Changed an Item: Add constraint
 
(2 intermediate revisions by the same user not shown)
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.m2adec
Property / Symbols used
 
Property / Symbols used: Q11320 / rank
 
Normal rank
Property / Symbols used: Q11320 / qualifier
 
Defining formula:

U ( a , z ) parabolic-U 𝑎 𝑧 {\displaystyle{\displaystyle U\left(\NVar{a},\NVar{z}\right)}}

\paraU@{\NVar{a}}{\NVar{z}}
Property / Symbols used: Q11320 / qualifier
 
xml-id: C12.S2.SS1.p1.m1adec
Property / Symbols used
 
Property / Symbols used: Q11513 / rank
 
Normal rank
Property / Symbols used: Q11513 / qualifier
 
Defining formula:

z 𝑧 {\displaystyle{\displaystyle z}}

z
Property / Symbols used: Q11513 / qualifier
 
xml-id: C12.S1.XMD3.m1dec

Latest revision as of 15:11, 2 January 2020

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DLMF:12.7.E1
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    Statements

    U ( - 1 2 , z ) = D 0 ( z ) = e - 1 4 z 2 , parabolic-U 1 2 𝑧 Whittaker-D 0 𝑧 superscript 𝑒 1 4 superscript 𝑧 2 {\displaystyle{\displaystyle U\left(-\tfrac{1}{2},z\right)=D_{0}\left(z\right)% =e^{-\frac{1}{4}z^{2}},}}
    0 references
    DLMF:12.7.E1
    0 references
    D ν ( z ) Whittaker-D 𝜈 𝑧 {\displaystyle{\displaystyle D_{\NVar{\nu}}\left(\NVar{z}\right)}}
    C12.S1.p3.m6adec
    0 references
    e {\displaystyle{\displaystyle\mathrm{e}}}
    C4.S2.E11.m2adec
    0 references
    U ( a , z ) parabolic-U 𝑎 𝑧 {\displaystyle{\displaystyle U\left(\NVar{a},\NVar{z}\right)}}
    C12.S2.SS1.p1.m1adec
    0 references
    z 𝑧 {\displaystyle{\displaystyle z}}
    C12.S1.XMD3.m1dec
    0 references