DLMF:3.5.E43 (Q1299): Difference between revisions

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Changed an Item: Add constraint
Changed an Item: Add constraint
 
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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: base of natural logarithm / rank
 
Normal rank
Property / Symbols used: base of natural logarithm / qualifier
 
Defining formula:

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

\expe
Property / Symbols used: base of natural logarithm / qualifier
 
xml-id: C4.S2.E11.m2ahdec
Property / Symbols used
 
Property / Symbols used: Q11176 / rank
 
Normal rank
Property / Symbols used: Q11176 / qualifier
 
Defining formula:

λ 𝜆 {\displaystyle{\displaystyle\lambda}}

\lambda
Property / Symbols used: Q11176 / qualifier
 
xml-id: C3.S5.XMD21.m1adec

Latest revision as of 17:52, 1 January 2020

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DLMF:3.5.E43
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    Statements

    erfc λ e - λ 2 π λ , asymptotically-equals complementary-error-function 𝜆 superscript 𝑒 superscript 𝜆 2 𝜆 {\displaystyle{\displaystyle\operatorname{erfc}\lambda\sim\frac{e^{-\lambda^{2% }}}{\sqrt{\pi}\lambda},}}
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    DLMF:3.5.E43
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    λ 𝜆 {\displaystyle{\displaystyle\lambda\to\infty}}
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    asymptotically-equals {\displaystyle{\displaystyle\sim}}
    C2.S1.E1.m2adec
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    π {\displaystyle{\displaystyle\pi}}
    C3.S12.E1.m2aidec
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    erfc z complementary-error-function 𝑧 {\displaystyle{\displaystyle\operatorname{erfc}\NVar{z}}}
    C7.S2.E2.m2aadec
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    e {\displaystyle{\displaystyle\mathrm{e}}}
    C4.S2.E11.m2ahdec
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    λ 𝜆 {\displaystyle{\displaystyle\lambda}}
    C3.S5.XMD21.m1adec
    0 references