DLMF:4.13.E6 (Q1647): Difference between revisions

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Property / constraint
 

| t | < 2 π 𝑡 2 𝜋 {\displaystyle{\displaystyle|t|<2\sqrt{\pi}}}

|t|<2\sqrt{\pi}
Property / constraint: | t | < 2 π 𝑡 2 𝜋 {\displaystyle{\displaystyle|t|<2\sqrt{\pi}}} / rank
 
Normal rank

Revision as of 16:00, 30 December 2019

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DLMF:4.13.E6
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    Statements

    W ( - e - 1 - ( t 2 / 2 ) ) = n = 0 ( - 1 ) n - 1 c n t n , Lambert-W superscript 𝑒 1 superscript 𝑡 2 2 superscript subscript 𝑛 0 superscript 1 𝑛 1 subscript 𝑐 𝑛 superscript 𝑡 𝑛 {\displaystyle{\displaystyle W\left(-e^{-1-(t^{2}/2)}\right)=\sum_{n=0}^{% \infty}(-1)^{n-1}c_{n}t^{n},}}
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    | t | < 2 π 𝑡 2 𝜋 {\displaystyle{\displaystyle|t|<2\sqrt{\pi}}}
    0 references