Lambert's Transcendental Equation
An equation proposed by Lambert 
(1758) and studied by Euler in 1779 (Euler 1921).
When
, the equation becomes
which has the solution
where
is Lambert's W-Function.
References
de Bruijn, N. G. Asymptotic Methods in Analysis. Amsterdam, Netherlands: North-Holland, pp. 27-28, 1961. Euler, L. ``De Serie Lambertina Plurismique Eius Insignibus Proprietatibus.'' Leonhardi Euleri Opera Omnia, Ser. 1. Opera Mathematica, Bd. 6, 1921. Lambert, J. H. ``Observations variae in Mathesin Puram.'' Acta Helvitica, physico-mathematico-anatomico-botanico-medica 3, 128-168, 1758.
- Stirling Number of the First Kind
- Stirling Number of the Second Kind
- Stirling's Approximation
- Stirling Set Number
- Stirling's Finite Difference Formula
- Stirling's Formula
- Stirling's Series
- Stirrup Curve
- Stochastic
- Stochastic Calculus of Variations
- Stochastic Group
- Stochastic Matrix
- Stochastic Process
- Stochastic Resonance
- Stokes Phenomenon
- Stokes' Theorem
- Stolarsky Array
- Stolarsky-Harborth Constant
- Stolarsky's Inequality
- Stomachion
- Stone Space
- Stone-von Neumann Theorem
- Stopper Knot
- Straight Angle
- Straightedge