Lambert W function

GPTKB entity

Statements (22)
Predicate Object
gptkbp:instance_of gptkb:Mathematics
gptkbp:application gptkb:computer_science
physics
engineering
combinatorics
gptkbp:branch multiple branches
gptkbp:first_introduced gptkb:Johann_Heinrich_Lambert
gptkbp:graph_characteristics has vertical asymptote at x = -1/e
increasing function for x >= -1/e
gptkbp:has_inverse not applicable
gptkbp:has_website complex numbers
https://www.w3.org/2000/01/rdf-schema#label Lambert W function
gptkbp:is_defined_by W(x) such that W(x)e^(W(x)) = x
gptkbp:known_as product logarithm
gptkbp:notable_traits W(-1/e) = -1
W(0) = 0
gptkbp:range complex numbers
gptkbp:related_to exponential function
gptkbp:special_values W(1) = 0.56714329...
gptkbp:used_in solving equations involving exponentials
gptkbp:bfsParent gptkb:Johann_Heinrich_Lambert
gptkbp:bfsLayer 5