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Complex Ultraspherical operators #252

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Merged
merged 2 commits into from
Jun 2, 2023
Merged

Complex Ultraspherical operators #252

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c451db5
complex Ultraspherical operators
jishnub Jun 2, 2023
a563a90
version bump to v0.6.30
jishnub Jun 2, 2023
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2 changes: 1 addition & 1 deletion Project.toml
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Original file line number Diff line number Diff line change
@@ -1,6 +1,6 @@
name = "ApproxFunOrthogonalPolynomials"
uuid = "b70543e2-c0d9-56b8-a290-0d4d6d4de211"
version = "0.6.29"
version = "0.6.30"

[deps]
ApproxFunBase = "fbd15aa5-315a-5a7d-a8a4-24992e37be05"
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5 changes: 4 additions & 1 deletion src/Spaces/Ultraspherical/UltrasphericalOperators.jl
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Expand Up @@ -13,7 +13,10 @@ recβ(::Type{T},S::Ultraspherical,k) where {T} = k/(2*(k-one(T)+order(S))) # o
recγ(::Type{T},S::Ultraspherical,k) where {T} = (k-2+2order(S))/(2*(k-one(T)+order(S))) # one(T) ensures we get correct type


normalization(::Type{T}, sp::Ultraspherical, k::Int) where T = (λ = order(sp); (T(2)^(1-2λ)*π)/((k+λ)*gamma(λ)^2*FastTransforms.Λ(T(k),one(λ),2λ)))
function normalization(::Type{T}, sp::Ultraspherical, k::Int) where T
λ = order(sp)
T(2)^(1-2λ)*π/((k+λ)*gamma(λ)^2*FastTransforms.Λ(real(T(k)),one(λ),2λ))
end

## Multiplication
# these are special cases
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7 changes: 7 additions & 0 deletions test/UltrasphericalTest.jl
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Expand Up @@ -107,6 +107,13 @@ using HalfIntegers
@test g ≈ Fun(ff, Ultraspherical(n1))
end
end

@testset "complex normalization" begin
C = Conversion(NormalizedUltraspherical(NormalizedLegendre()), Ultraspherical(Legendre()))
CC = convert(Operator{ComplexF64}, C)
@test CC isa Operator{ComplexF64}
@test CC[1:4, 1:4] ≈ C[1:4, 1:4]
end
end

@testset "Normalized space" begin
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