DLMF:13.18.E7 (Q4576): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: complementary error function / rank
Normal rank
 
Property / Symbols used: complementary error function / qualifier
test:

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.m2adec
 
Property / Symbols used
 
Property / Symbols used: base of natural logarithm / rank
 
Normal rank
Property / Symbols used: base of natural logarithm / qualifier
 
test:

e {\displaystyle{\displaystyle\mathrm{e}}}

\expe
Property / Symbols used: base of natural logarithm / qualifier
 
xml-id: C4.S2.E11.m2aedec
Property / Symbols used
 
Property / Symbols used: Q11557 / rank
 
Normal rank
Property / Symbols used: Q11557 / qualifier
 
test:

z 𝑧 {\displaystyle{\displaystyle z}}

z
Property / Symbols used: Q11557 / qualifier
 
xml-id: C13.S1.XMD6.m1fdec
Property / Symbols used
 
Property / Symbols used: complementary error function / rank
 
Normal rank
Property / Symbols used: complementary error function / qualifier
 
test:

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.m2adec

Latest revision as of 15:12, 2 January 2020

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Language Label Description Also known as
English
DLMF:13.18.E7
No description defined

    Statements

    test
    W - 1 4 , ± 1 4 ⁡ ( z 2 ) = e 1 2 ⁢ z 2 ⁢ π ⁢ z ⁢ erfc ⁡ ( z ) . Whittaker-confluent-hypergeometric-W 1 4 plus-or-minus 1 4 superscript 𝑧 2 superscript 𝑒 1 2 superscript 𝑧 2 𝜋 𝑧 complementary-error-function 𝑧 {\displaystyle{\displaystyle W_{-\frac{1}{4},\pm\frac{1}{4}}\left(z^{2}\right)% =e^{\frac{1}{2}z^{2}}\sqrt{\pi z}\operatorname{erfc}\left(z\right).}}
    0 references
    DLMF id
    DLMF:13.18.E7
    0 references
    Symbols used
    Whittaker confluent hypergeometric function
    test
    W κ , μ ⁡ ( z ) Whittaker-confluent-hypergeometric-W 𝜅 𝜇 𝑧 {\displaystyle{\displaystyle W_{\NVar{\kappa},\NVar{\mu}}\left(\NVar{z}\right)}}
    xml-id
    C13.S14.E3.m2abdec
    0 references
    the ratio of the circumference of a circle to its diameter
    test
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2aadec
    0 references
    base of natural logarithm
    test
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2aedec
    0 references
    Q11557
    test
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C13.S1.XMD6.m1fdec
    0 references
    complementary error function
    test
    erfc ⁡ z complementary-error-function 𝑧 {\displaystyle{\displaystyle\operatorname{erfc}\NVar{z}}}
    xml-id
    C7.S2.E2.m2adec
    0 references
     
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