DLMF:12.7.E5 (Q4128): Difference between revisions

From testwiki
Jump to navigation Jump to search
← Older editNewer edit →
imported>Admin
imported>Admin
Property / Symbols used
 
Property / Symbols used: base of natural logarithm / rank
 
Normal rank
Property / Symbols used: base of natural logarithm / qualifier
 
test:

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

\expe
Property / Symbols used: base of natural logarithm / qualifier
 
xml-id: C4.S2.E11.m2addec

Revision as of 14:12, 2 January 2020

No description defined
Language Label Description Also known as
English
DLMF:12.7.E5
No description defined

    Statements

    test
    U ⁡ ( 1 2 , z ) = D - 1 ⁡ ( z ) = 1 2 ⁢ π ⁢ e 1 4 ⁢ z 2 ⁢ erfc ⁡ ( z / 2 ) , parabolic-U 1 2 𝑧 Whittaker-D 1 𝑧 1 2 𝜋 superscript 𝑒 1 4 superscript 𝑧 2 complementary-error-function 𝑧 2 {\displaystyle{\displaystyle U\left(\tfrac{1}{2},z\right)=D_{-1}\left(z\right)% =\sqrt{\tfrac{1}{2}\pi}\,e^{\frac{1}{4}z^{2}}\operatorname{erfc}\left(z/\sqrt{% 2}\right),}}
    0 references
    DLMF id
    DLMF:12.7.E5
    0 references
    Symbols used
    Q11515
    test
    D ν ⁡ ( z ) Whittaker-D 𝜈 𝑧 {\displaystyle{\displaystyle D_{\NVar{\nu}}\left(\NVar{z}\right)}}
    xml-id
    C12.S1.p3.m6abdec
    0 references
    the ratio of the circumference of a circle to its diameter
    test
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2abdec
    0 references
    complementary error function
    test
    erfc ⁡ z complementary-error-function 𝑧 {\displaystyle{\displaystyle\operatorname{erfc}\NVar{z}}}
    xml-id
    C7.S2.E2.m2adec
    0 references
    base of natural logarithm
    test
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2addec
    0 references
     
      Retrieved from "https://lct.wmflabs.org/w/index.php?title=Item:Q4128&oldid=22268"