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implement Lambert W function #84

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5c16731
implement Lambert W function
jlapeyre Mar 28, 2018
9ef0205
made changes request in PR review
jlapeyre Apr 18, 2018
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2 changes: 1 addition & 1 deletion README.md
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Original file line number Diff line number Diff line change
@@ -1,7 +1,7 @@
# SpecialFunctions.jl

Special mathematical functions in Julia, including Bessel, Hankel, Airy, error, Dawson, sine and cosine integrals,
eta, zeta, digamma, inverse digamma, trigamma, and polygamma functions.
eta, zeta, digamma, inverse digamma, trigamma, polygamma, and Lambert W functions.
Most of these functions were formerly part of Base.

Note: On Julia 0.7, this package downloads and/or builds
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1 change: 1 addition & 0 deletions docs/src/index.md
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Expand Up @@ -40,6 +40,7 @@ libraries.
| [`besselix(nu,z)`](@ref SpecialFunctions.besselix) | scaled modified Bessel function of the first kind of order `nu` at `z` |
| [`besselk(nu,z)`](@ref SpecialFunctions.besselk) | modified [Bessel function](https://en.wikipedia.org/wiki/Bessel_function) of the second kind of order `nu` at `z` |
| [`besselkx(nu,z)`](@ref SpecialFunctions.besselkx) | scaled modified Bessel function of the second kind of order `nu` at `z` |
| [`lambertw(z,k)`](@ref SpecialFunctions.lambertw) | `k`th branch of the Lambert W function at `z` |

## Installation

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3 changes: 3 additions & 0 deletions docs/src/special.md
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Expand Up @@ -46,4 +46,7 @@ SpecialFunctions.besselk
SpecialFunctions.besselkx
SpecialFunctions.eta
SpecialFunctions.zeta
SpecialFunctions.lambertw
SpecialFunctions.lambertwbp
SpecialFunctions.omega
```
3 changes: 3 additions & 0 deletions src/SpecialFunctions.jl
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Expand Up @@ -71,10 +71,13 @@ end
export sinint,
cosint

export lambertw, lambertwbp

include("bessel.jl")
include("erf.jl")
include("sincosint.jl")
include("gamma.jl")
include("lambertw.jl")
include("deprecated.jl")

end # module
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