Lambert W Function

Part I: The classical Lambert W function

1.Basic Properties of W
2.The Branch Structure of the Lambert W Function
3.Unwinding Number and Branch Differences
4.Numerical Approximations

Part II: Generalized Lambert functions

5.Generalizations of the Lambert function
6.The r-Lambert Function

Part III: Applications

7.Physical applications
8.Biology, Ecology, Probability
9.Mathematical applications

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• Teoria combinatória e dos grafos
• A matemática discreta
• Matemática aplicada
• Análise complexa, variáveis ??complexas
• Física Matemática

combinatorics;complex analysis;Lambert Function;Principal Branch;Riemann Surface;Branch Index;Branch Cuts;Negative Real Line;Monodromy Group;Lindley Distribution;OEIS;Delay Differential Equations;Branch Point;Orlicz Space;Continued Fraction;Exponential Generating Function;Hankel Determinants;Negative Real Axis;Orlicz Function;Random Predator Equation;Positive Real;Bell Numbers;Rodrigues Type Formula;Halley Method;Inverse Langevin Function;Poisson Lindley Distribution;Elementary Magnetic Moment