Revision #579 → #1343 · back to history
addedLambert W function5a048b22a949
addedPrincipal branch3b81d1c30aaa
addedDefining property of W865545a7f0d9
addedReal-number solvabilityc2b216b5f969
addedOmega constant5183ee698c98
addedCountably many branchesf22e2ccbce33
addedBranch point and branch cut7d239b0a0a54
addedInjectivity and disjoint ranges3542bf09807f
addedImage of the real axis5aa6a4078f28
addedInverse relationship regionsfbbe4434bae8
addedTranscendence of W at algebraic numbers7b2807d4dce7
addedDifferential equation for Wd26ddb0b1af3
addedDerivative formula for W65c16465cbd2
addedDerivative at the originfe03088a0f10
addedn-th derivative of Wc558050ed240
addedIntegration of W via substitution727c76d3d554
addedIntegral identity from W0(e)=107e75625cc0a
addedTaylor series of principal branch9b424f67a68e
addedRadius of convergence13e0a9e9c298
addedAsymptotic expansion for large x64eceebce815
addedTwo-term asymptotic approximation52c613a812fe
addedAsymptotics of W−1 near zero49a41dbb78c6
addedTaylor series of integer powers of W0f20e1e221505
addedLagrange inversion for powerse6d0e9bd751c
addedTaylor expansion of powers of W0(x)/xfa5e8e969985
addedHoorfar–Hassani bound (x ≥ e)3c6ab1251ccd
addedIacono–Boyd enhanced boundsde043e42e2c6
addedHoorfar–Hassani general bound2629370b63fb
addedDerived bound from general boundcc28b0dba280
addedStewart bounds4a541bc84102
addedBounds for W−1b9bccafdcefc
addedIdentities from the definition2ffd955e48cc
addedNon-injectivity of xe^xca66ca7bf501
addedFurther identitiesb75a78ee9df1
addedIdentity substituting −ln xae208860ed5d
addedIdentity via Euler's iterated exponential63edfebff6d9
addedSpecial values of principal branchfed535e50e11
addedW0(1) = omega constantc0cddc049607
addedSpecial values of W−1cb494059ae03
addedPoisson integral representationf7e57dd09d23
addedKalugin–Jeffrey–Corless representation583d5292d5b8
addedContinued fraction representation79bbe8d8a3db
addedSeries for |W0(x)| < 10d6343d76de7
addedSeries for |W0(x)| > 11d69c3996e75
addedDefinite integral formulasae53331480d3
addedIntegral computation of principal branchdf69b6051233
addedIndefinite integrals of Wac1f7889597c
addedSolving equations with Wbce2aecc1916
addedExample equation solved by W58b9edbb1db5
addedGeneral solution ze^z form139600135c7e
addedIntersection of linear and exponential21396e40e10e
addedSuper root as inverse of tetrationf06b82c6b5c8
addedSuper root calculation examplea3b91809d484
addedCayley's formulad078e85f83a3
addedEGF of rooted treesdbb11d3fb5f3
addedRooted tree recurrence equationbcb294cac41f
addedMaclaurin series via Lagrange inversion0b10aaeb7044
addedDebris flow front via W82b5a987f87d
addedFlow rate solution via Wcc5a70cfca81
addedScheil equation via W8db09b0bf5c3
addedBernoulli/Todd equation solved by W0, W−1c888cf76f81f
addedEquilibrium constant equationbacfb6ecd46a
addedLambert W potential in Schrödinger equation604c242cd9a0
addedWien's law in D dimensions7cf1cf8b8dbd
addedOrthogonal trajectories of ellipsesc855ff9b6286
addedStandard W transcendental equationc3fc12d28417
addedQuadratic-polynomial generalizatione3c5e7bf7806
addedRational-polynomial generalization169a30b7d5d9
addedNewton's method approximationb757239ad88b
addedHalley's method approximationa4895b634af7
addedIacono–Boyd recursive formulab4fe80d69ec7
addedLóczi iteration convergence9152582e11ae
addedFukushima non-iterative method905b93c15d68