DLMF:12.7.E10 (Q4133): Difference between revisions

From testwiki
Jump to navigation Jump to search
imported>Admin
imported>Admin
 
(2 intermediate revisions by the same user not shown)
Property / Symbols used
 
Property / Symbols used: modified Bessel function of the second kind / rank
 
Normal rank
Property / Symbols used: modified Bessel function of the second kind / qualifier
 
test:

K ν ( z ) modified-Bessel-second-kind 𝜈 𝑧 {\displaystyle{\displaystyle K_{\NVar{\nu}}\left(\NVar{z}\right)}}

\modBesselK{\NVar{\nu}}@{\NVar{z}}
Property / Symbols used: modified Bessel function of the second kind / qualifier
 
xml-id: C10.S25.E3.m2abdec
Property / Symbols used
 
Property / Symbols used: Q11320 / rank
 
Normal rank
Property / Symbols used: Q11320 / qualifier
 
test:

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.m1agdec
Property / Symbols used
 
Property / Symbols used: Q11513 / rank
 
Normal rank
Property / Symbols used: Q11513 / qualifier
 
test:

z 𝑧 {\displaystyle{\displaystyle z}}

z
Property / Symbols used: Q11513 / qualifier
 
xml-id: C12.S1.XMD3.m1idec

Latest revision as of 14:13, 2 January 2020

No description defined
Language Label Description Also known as
English
DLMF:12.7.E10
No description defined

    Statements

    U ( 0 , z ) = z 2 π K 1 4 ( 1 4 z 2 ) , parabolic-U 0 𝑧 𝑧 2 𝜋 modified-Bessel-second-kind 1 4 1 4 superscript 𝑧 2 {\displaystyle{\displaystyle U\left(0,z\right)=\sqrt{\frac{z}{2\pi}}K_{\frac{1% }{4}}\left(\tfrac{1}{4}z^{2}\right),}}
    0 references
    0 references
    π {\displaystyle{\displaystyle\pi}}
    C3.S12.E1.m2agdec
    0 references
    K ν ( z ) modified-Bessel-second-kind 𝜈 𝑧 {\displaystyle{\displaystyle K_{\NVar{\nu}}\left(\NVar{z}\right)}}
    C10.S25.E3.m2abdec
    0 references
    U ( a , z ) parabolic-U 𝑎 𝑧 {\displaystyle{\displaystyle U\left(\NVar{a},\NVar{z}\right)}}
    C12.S2.SS1.p1.m1agdec
    0 references
    z 𝑧 {\displaystyle{\displaystyle z}}
    C12.S1.XMD3.m1idec
    0 references