DLMF:12.7.E7 (Q4130): Difference between revisions

From testwiki
Jump to navigation Jump to search
← Older editNewer edit →
imported>Admin
imported>Admin
Property / Symbols used
 
Property / Symbols used: probability function / rank
 
Normal rank
Property / Symbols used: probability function / qualifier
 
test:

𝐻ℎ n ⁡ ( z ) Fishers-Hh 𝑛 𝑧 {\displaystyle{\displaystyle\mathit{Hh}_{\NVar{n}}\left(\NVar{z}\right)}}

\FishersHh{\NVar{n}}@{\NVar{z}}
Property / Symbols used: probability function / qualifier
 
xml-id: C7.S18.E12.m2adec

Revision as of 14:12, 2 January 2020

No description defined
Language Label Description Also known as
English
DLMF:12.7.E7
No description defined

    Statements

    test
    U ⁡ ( n + 1 2 , z ) = e 1 4 ⁢ z 2 ⁢ 𝐻ℎ n ⁡ ( z ) = π ⁢  2 1 2 ⁢ ( n - 1 ) ⁢ e 1 4 ⁢ z 2 ⁢ i n ⁢ erfc ⁡ ( z / 2 ) , parabolic-U 𝑛 1 2 𝑧 superscript 𝑒 1 4 superscript 𝑧 2 Fishers-Hh 𝑛 𝑧 𝜋 superscript  2 1 2 𝑛 1 superscript 𝑒 1 4 superscript 𝑧 2 repeated-integral-complementary-error-function 𝑛 𝑧 2 {\displaystyle{\displaystyle U\left(n+\tfrac{1}{2},z\right)=e^{\frac{1}{4}z^{2% }}\mathit{Hh}_{n}\left(z\right)=\sqrt{\pi}\,2^{\frac{1}{2}(n-1)}e^{\frac{1}{4}% z^{2}}\mathop{\mathrm{i}^{n}\mathrm{erfc}}\left(z/\sqrt{2}\right),}}
    0 references
    DLMF id
    DLMF:12.7.E7
    0 references
    constraint
    n = - 1 , 0 , 1 , … 𝑛 1 0 1 … {\displaystyle{\displaystyle n=-1,0,1,\dots}}
    0 references
    Symbols used
    probability function
    test
    𝐻ℎ n ⁡ ( z ) Fishers-Hh 𝑛 𝑧 {\displaystyle{\displaystyle\mathit{Hh}_{\NVar{n}}\left(\NVar{z}\right)}}
    xml-id
    C7.S18.E12.m2adec
    0 references
     
      Retrieved from "https://lct.wmflabs.org/w/index.php?title=Item:Q4130&oldid=22284"