DLMF:3.5.E44 (Q1300): Difference between revisions

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Property / constraint
 

c > 0 𝑐 0 {\displaystyle{\displaystyle c>0}}

c>0
Property / constraint: c > 0 𝑐 0 {\displaystyle{\displaystyle c>0}} / rank
 
Normal rank

Revision as of 15:57, 30 December 2019

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DLMF:3.5.E44
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    erfc λ = 1 2 π i c - i c + i e λ 2 ( t - 2 t ) d t t , complementary-error-function 𝜆 1 2 imaginary-unit superscript subscript 𝑐 imaginary-unit 𝑐 imaginary-unit superscript 𝑒 superscript 𝜆 2 𝑡 2 𝑡 𝑡 𝑡 {\displaystyle{\displaystyle\operatorname{erfc}\lambda=\frac{1}{2\pi\mathrm{i}% }\int_{c-\mathrm{i}\infty}^{c+\mathrm{i}\infty}e^{\lambda^{2}(t-2\sqrt{t})}% \frac{\mathrm{d}t}{t},}}
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    c > 0 𝑐 0 {\displaystyle{\displaystyle c>0}}
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