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

From DRMF
Jump to navigation Jump to search
← Older editNewer edit →
‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
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.m1agdec

Revision as of 15:13, 2 January 2020

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

    Statements

    Defining formula
    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
    DLMF id
    DLMF:12.7.E10
    0 references
    Symbols used
    the ratio of the circumference of a circle to its diameter
    Defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2agdec
    0 references
    modified Bessel function of the second kind
    Defining formula
    K ν ⁡ ( z ) modified-Bessel-second-kind 𝜈 𝑧 {\displaystyle{\displaystyle K_{\NVar{\nu}}\left(\NVar{z}\right)}}
    xml-id
    C10.S25.E3.m2abdec
    0 references
    Q11320
    Defining formula
    U ⁡ ( a , z ) parabolic-U 𝑎 𝑧 {\displaystyle{\displaystyle U\left(\NVar{a},\NVar{z}\right)}}
    xml-id
    C12.S2.SS1.p1.m1agdec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q4133&oldid=55497"