add special functions

Author: dlfivefifty

src/ApproxFunFourier.jl

@@ -1,6 +1,6 @@
 module ApproxFunFourier
 using Base, LinearAlgebra, Reexport, AbstractFFTs, FFTW, InfiniteArrays, FillArrays, FastTransforms, IntervalSets, 
-            DomainSets
+            DomainSets, SpecialFunctions
 
 @reexport using ApproxFunBase
 
@@ -65,7 +65,23 @@ import InfiniteArrays: Infinity, InfRanges, AbstractInfUnitRange, OneToInf
 
 import FastTransforms: ChebyshevTransformPlan, IChebyshevTransformPlan, plan_chebyshevtransform,
                         plan_chebyshevtransform!, plan_ichebyshevtransform, plan_ichebyshevtransform!
-                        
+    
+
+# we need to import all special functions to use Calculus.symbolic_derivatives_1arg
+# we can't do importall Base as we replace some Base definitions
+import SpecialFunctions: sinpi, cospi, airy, besselh,
+                    asinh, acosh,atanh, erfcx, dawson, erf, erfi,
+                    sin, cos, sinh, cosh, airyai, airybi, airyaiprime, airybiprime,
+                    hankelh1, hankelh2, besselj, besselj0, bessely, besseli, besselk,
+                    besselkx, hankelh1x, hankelh2x, exp2, exp10, log2, log10,
+                    tan, tanh, csc, asin, acsc, sec, acos, asec,
+                    cot, atan, acot, sinh, csch, asinh, acsch,
+                    sech, acosh, asech, tanh, coth, atanh, acoth,
+                    expm1, log1p, lfact, sinc, cosc, erfinv, erfcinv, beta, lbeta,
+                    eta, zeta, gamma,  lgamma, polygamma, invdigamma, digamma, trigamma,
+                    abs, sign, log, expm1, tan, abs2, sqrt, angle, max, min, cbrt, log,
+                    atan, acos, asin, erfc, inv                        
+
 export Fourier, Taylor, Hardy, CosSpace, SinSpace, Laurent, PeriodicDomain
 
 include("utils.jl")