DLMF:13.6.E8 (Q4395): Difference between revisions

From DRMF
Jump to navigation Jump to search
← Older edit
‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
 
Property / Symbols used
 
Property / Symbols used: Q11557 / rank
 
Normal rank
Property / Symbols used: Q11557 / qualifier
 
Defining formula:

z 𝑧 {\displaystyle{\displaystyle z}}

z
Property / Symbols used: Q11557 / qualifier
 
xml-id: C13.S1.XMD6.m1gdec

Latest revision as of 15:51, 2 January 2020

No description defined
Language Label Description Also known as
English
DLMF:13.6.E8
No description defined

    Statements

    Defining formula
    U ⁡ ( 1 2 , 1 2 , z 2 ) = π ⁢ e z 2 ⁢ erfc ⁡ ( z ) . Kummer-confluent-hypergeometric-U 1 2 1 2 superscript 𝑧 2 𝜋 superscript 𝑒 superscript 𝑧 2 complementary-error-function 𝑧 {\displaystyle{\displaystyle U\left(\tfrac{1}{2},\tfrac{1}{2},z^{2}\right)=% \sqrt{\pi}e^{z^{2}}\operatorname{erfc}\left(z\right).}}
    0 references
    DLMF id
    DLMF:13.6.E8
    0 references
    Symbols used
    Kummer confluent hypergeometric function
    Defining formula
    U ⁡ ( a , b , z ) Kummer-confluent-hypergeometric-U 𝑎 𝑏 𝑧 {\displaystyle{\displaystyle U\left(\NVar{a},\NVar{b},\NVar{z}\right)}}
    xml-id
    C13.S2.E6.m2acdec
    0 references
    the ratio of the circumference of a circle to its diameter
    Defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2aadec
    0 references
    complementary error function
    Defining formula
    erfc ⁡ z complementary-error-function 𝑧 {\displaystyle{\displaystyle\operatorname{erfc}\NVar{z}}}
    xml-id
    C7.S2.E2.m2adec
    0 references
    base of natural logarithm
    Defining formula
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2addec
    0 references
    Q11557
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C13.S1.XMD6.m1gdec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q4395&oldid=61477"