Merge 93fd457 into 8b0696d

Project.toml

@@ -12,7 +12,8 @@ BinaryProvider = "≥ 0.5.0"
 julia = "≥ 0.7.0"
 
 [extras]
+Polynomials = "f27b6e38-b328-58d1-80ce-0feddd5e7a45"
 Test = "8dfed614-e22c-5e08-85e1-65c5234f0b40"
 
 [targets]
-test = ["Test"]
+test = ["Test", "Polynomials"]

docs/src/functions_list.md

@@ -59,4 +59,10 @@ SpecialFunctions.beta
 SpecialFunctions.logbeta
 SpecialFunctions.logabsbeta
 SpecialFunctions.logabsbinomial
+SpecialFunctions.chebyshevT
+SpecialFunctions.chebyshevU
+SpecialFunctions.hermiteH
+SpecialFunctions.laguerreL
+SpecialFunctions.legendreP
+SpecialFunctions.legendreQ
 ```

docs/src/functions_overview.md

@@ -72,6 +72,18 @@ Here the *Special Functions* are listed according to the structure of [NIST Digi
 | [`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`                                                                                         |
 
+## [Legendre and Related Functions](https://dlmf.nist.gov/14)
+| Function | Description |
+|:-------- |:----------- |
+| [`chebyshevT(n,x)`](@ref SpecialFunctions.chebyshevT) | [Chebyshev polynomial of the first kind](https://en.wikipedia.org/wiki/Chebyshev_polynomials) ``T_n(x)`` |
+| [`chebyshevU(n,x)`](@ref SpecialFunctions.chebyshevU) | [Chebyshev polynomial of the second kind](https://en.wikipedia.org/wiki/Chebyshev_polynomials) ``U_n(x)`` |
+| [`hermiteH(n,x)`](@ref SpecialFunctions.hermiteH)     | [Hermite polynomial](https://en.wikipedia.org/wiki/Hermite_polynomials) ``H_n(x)`` |
+| [`laguerreL(n,x)`](@ref SpecialFunctions.laguerreL)   | [Laguerre polynomial](https://en.wikipedia.org/wiki/Laguerre_polynomials) ``L_n(x)`` |
+| [`legendreP(n,x)`](@ref SpecialFunctions.legendreP)   | [Legendre polynomial](https://en.wikipedia.org/wiki/Legendre_polynomials) ``P_n(x)`` |
+| [`legendreP(n,m,x)`](@ref SpecialFunctions.legendreP) | [Associated Legendre function of the first kind](https://en.wikipedia.org/wiki/Associated_Legendre_polynomials) ``P_n^{(m)}(x)`` |
+| [`legendreQ(n,x)`](@ref SpecialFunctions.legendreQ)   | [Legendre function of the second kind](https://en.wikipedia.org/wiki/Legendre_function#Legendre_functions_of_the_second_kind_(Qn)) ``Q_n(x)`` |
+| [`legendreQ(n,m,x)`](@ref SpecialFunctions.legendreQ) | [Associated Legendre function of the second kind](https://en.wikipedia.org/wiki/Legendre_function#Associated_Legendre_functions_of_the_second_kind) ``Q_n^{(m)}(x)`` |
+
 
 ## [Elliptic Integrals](https://dlmf.nist.gov/19)
 | Function | Description |

src/SpecialFunctions.jl

@@ -60,6 +60,12 @@ export
     zeta,
     sinint,
     cosint,
+    chebyshevT,
+    chebyshevU,
+    hermiteH,
+    laguerreL,
+    legendreP,
+    legendreQ,
     lbinomial
 
 include("bessel.jl")
@@ -71,6 +77,8 @@ include("gamma_inc.jl")
 include("betanc.jl")
 include("beta_inc.jl")
 include("deprecated.jl")
+include("legendre.jl")
+
 
 for f in (:digamma, :erf, :erfc, :erfcinv, :erfcx, :erfi, :erfinv,
           :eta, :gamma, :invdigamma, :logfactorial, :lgamma, :trigamma, :ellipk, :ellipe)