DLMF:7.11.E3 (Q2405): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: the ratio of the circumference of a circle to its diameter / rank
 
Normal rank
Property / Symbols used: the ratio of the circumference of a circle to its diameter / qualifier
 
Defining formula:

π {\displaystyle{\displaystyle\pi}}

\cpi
Property / Symbols used: the ratio of the circumference of a circle to its diameter / qualifier
 
xml-id: C3.S12.E1.m2abdec
Property / Symbols used
 
Property / Symbols used: complementary error function / rank
 
Normal rank
Property / Symbols used: complementary error function / qualifier
 
Defining formula:

erfc z complementary-error-function 𝑧 {\displaystyle{\displaystyle\operatorname{erfc}\NVar{z}}}

\erfc@@{\NVar{z}}
Property / Symbols used: complementary error function / qualifier
 
xml-id: C7.S2.E2.m2aadec
Property / Symbols used
 
Property / Symbols used: generalized exponential integral / rank
 
Normal rank
Property / Symbols used: generalized exponential integral / qualifier
 
Defining formula:

E p ( z ) exponential-integral-En 𝑝 𝑧 {\displaystyle{\displaystyle E_{\NVar{p}}\left(\NVar{z}\right)}}

\genexpintE{\NVar{p}}@{\NVar{z}}
Property / Symbols used: generalized exponential integral / qualifier
 
xml-id: C8.S19.E1.m2adec
Property / Symbols used
 
Property / Symbols used: Q11312 / rank
 
Normal rank
Property / Symbols used: Q11312 / qualifier
 
Defining formula:

z 𝑧 {\displaystyle{\displaystyle z}}

z
Property / Symbols used: Q11312 / qualifier
 
xml-id: C7.S1.XMD2.m1bdec

Latest revision as of 01:48, 2 January 2020

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DLMF:7.11.E3
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    Statements

    erfc z = z π E 1 2 ( z 2 ) . complementary-error-function 𝑧 𝑧 𝜋 exponential-integral-En 1 2 superscript 𝑧 2 {\displaystyle{\displaystyle\operatorname{erfc}z=\frac{z}{\sqrt{\pi}}E_{\frac{% 1}{2}}\left(z^{2}\right).}}
    0 references
    DLMF:7.11.E3
    0 references
    π {\displaystyle{\displaystyle\pi}}
    C3.S12.E1.m2abdec
    0 references
    erfc z complementary-error-function 𝑧 {\displaystyle{\displaystyle\operatorname{erfc}\NVar{z}}}
    C7.S2.E2.m2aadec
    0 references
    E p ( z ) exponential-integral-En 𝑝 𝑧 {\displaystyle{\displaystyle E_{\NVar{p}}\left(\NVar{z}\right)}}
    C8.S19.E1.m2adec
    0 references
    z 𝑧 {\displaystyle{\displaystyle z}}
    C7.S1.XMD2.m1bdec
    0 references