How Can derive LambertW(z) in the Form of integral??? W(z)=(1/π)∫_0 ^( π) ln(1+((z∙sin(t))/t)e^(t∙cot(t)) )dt , z∈[−(1/e),∞) Or Similar to the example.LambertW(z) How other Functions can be Derived in Integral Form


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Question Number 204573 by MathedUp last updated on 22/Feb/24

$How Can derive LambertW (z) in the$ $Form of integral ? ? ?$ $W (z) = \frac{1}{π} \int_{0}^{π} \ln (1 + \frac{z \cdot \sin (t)}{t} e^{t \cdot \cot (t)}) d t, z \in [- \frac{1}{e}, \infty)$ $Or Similar to the example . LambertW (z)$ $How other Functions can be Derived in Integral Form$
Commented by TonyCWX08 last updated on 22/Feb/24

$T h a n k y o u f o r t h i s$
Commented by mr W last updated on 22/Feb/24

$i s R a m b e r t t h e s a m e p e r s o n a s$ $L a m b e r t ?$
Commented by MathedUp last updated on 22/Feb/24

$Oops . . . Rambert \to Lambert$
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