DLMF:7.9.E2 (Q2396): Difference between revisions

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Property / constraint
 

z > 0 𝑧 0 {\displaystyle{\displaystyle\Re z>0}}

\realpart@@{z}>0
Property / constraint: z > 0 𝑧 0 {\displaystyle{\displaystyle\Re z>0}} / rank
 
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Revision as of 16:08, 30 December 2019

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DLMF:7.9.E2
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    π e z 2 erfc z = 2 z 2 z 2 + 1 - 1 2 2 z 2 + 5 - 3 4 2 z 2 + 9 - , 𝜋 superscript 𝑒 superscript 𝑧 2 complementary-error-function 𝑧 continued-fraction 2 𝑧 2 superscript 𝑧 2 1 continued-fraction 1 2 2 superscript 𝑧 2 5 continued-fraction 3 4 2 superscript 𝑧 2 9 {\displaystyle{\displaystyle\sqrt{\pi}e^{z^{2}}\operatorname{erfc}z=\cfrac{2z}% {2z^{2}+1-\cfrac{1\cdot 2}{2z^{2}+5-\cfrac{3\cdot 4}{2z^{2}+9-\cdots}}},}}
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    z > 0 𝑧 0 {\displaystyle{\displaystyle\Re z>0}}
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