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cirno
Jul 25, 2020

Lambert W equation



The equation appears in branching processes. s=1 is one solution but there is another solution when mu is greater than 1 which can be expressed in terms of the lambert W function

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anbowang48
Jul 26, 2020



cirno
Jul 26, 2020

Great

0
anbowang48
Jul 26, 2020

Sorry, I was careless in my last proof. I forgot the minus sign inside the lambert W function. In line 3, when i multiplied both sides by -1, I forgot to multiply the right side by -1, which results in an incorrect final answer. The actual answer is:


-W(-μ/e)/μ=S.