MathLink with HypergeometricFunctions about mathlink.jl HOT 8 CLOSED

Hi. The code as you type will have no chance of working because the HypergeometricFunctions is not a defined function within MathLink. What would be the corresponding Mathematica code that you would run in this instance?

Or is there some other Julia library also at work in this example?

from mathlink.jl.

Hi. The code as you type will have no chance of working because the HypergeometricFunctions is not a defined function within MathLink. What would be the corresponding Mathematica code that you would run in this instance?

Or is there some other Julia library also at work in this example?

I also used HypergeometricFunctions in Julia
the Full code is
using MathLink
using HypergeometricFunctions
a=weval(W"Series"(HypergeometricFunctions.pFq((2,), (0.2,),W"z"),(W"z",-1,50)))

from mathlink.jl.

Hi. Your problem is that the HypergeometricFunctionspackage does no accept MathLink arguments.

using MathLink
using HypergeometricFunctions

julia> HypergeometricFunctions.pFq((2,), (0.2,),1)
35.11151422002346

julia> HypergeometricFunctions.pFq((2,), (0.2,),W"z")
ERROR: MethodError: no method matching AbstractFloat(::MathLink.WSymbol)

If you want to use the Mathematica hypergeoemtric functions your need to use the HypergeometricPFQ function wich is builtin to Mathematica.

from mathlink.jl.

How can I define HypergeometirvPFQ in julia,while I see connection between Julia and mathematic through a char "W"

from mathlink.jl.

The syntac change is usually simple. Replace any Matematica function <fun> with W"<fun>" and the [<arg>] with (<arg>). If you are unsure what it should look like you can always use the ' construction as

W`<fun>`

Here follows a series of eamples of how to works figures out the correct syntax

Test that numerics values work

julia> weval(W`HypergeometricPFQ[{1, 1}, {3, 3, 3}, 2.]`)
1.0789344020671878

Test that algebraic expressions work

julia> weval(W`HypergeometricPFQ[{1, 1}, {3, 3, 3}, z]`)
W"HypergeometricPFQ"(W"List"(1, 1), W"List"(3, 3, 3), W"z")

Note that the weval is not nencarry. Mathlink does the translation anyway:

julia> W`HypergeometricPFQ[{1, 1}, {3, 3, 3}, z]`
W"HypergeometricPFQ"(W"List"(1, 1), W"List"(3, 3, 3), W"z")

Here the same thing with weval

julia> weval(W"HypergeometricPFQ"([1, 1],[3, 3, 3], W"z"))
W"HypergeometricPFQ"(W"List"(1, 1), W"List"(3, 3, 3), W"z")

And if you run the series you will get more data back:

julia> weval(W"Series"(W"HypergeometricPFQ"([1, 1],[3, 3, 3], W"z"),(W"z",-1,2)))
W"SeriesData"(W"z", -1, W"List"(W"HypergeometricPFQ"(W"List"(1, 1), W"List"(3, 3, 3), -1), W"Plus"(-8, W"Times"(8, W"HypergeometricPFQ"(W"List"(1, 1), W"List"(2, 2, 2), -1)), W"HypergeometricPFQ"(W"List"(1, 1), W"List"(3, 3, 3), -1)), W"Plus"(-16, W"Times"(4, W"BesselJ"(0, 2)), W"Times"(16, W"HypergeometricPFQ"(W"List"(1, 1), W"List"(2, 2, 2), -1)), W"HypergeometricPFQ"(W"List"(1, 1), W"List"(3, 3, 3), -1))), 0, 3, 1)

I hope this clarifies things.

from mathlink.jl.

Thanks! That helps a lot,I am not familiar with MathLink,I tried the method above and successfully get the result.
My goal is get the TaylorSeries coefficients, how can I access W"List"(-2.0401353687919177, 1.6538235838749207, 0.9454567962158056, 0.33340658574157367, 0.08626703289712206, 0.017680673659342557) the coefficient as I understand it?here is my code
a=weval(W"Series"(W"Hypergeometric1F1"(0.1,0.02, W"z"),(W"z",-1,5)))
W"SeriesData"(W"z", -1, W"List"(-2.0401353687919177, 1.6538235838749207, 0.9454567962158056, 0.33340658574157367, 0.08626703289712206, 0.017680673659342557), 0, 6, 1)

from mathlink.jl.

Hi @Li-shiyue, you can access the series data by looking at the args of a. The trick is to access the third argument which i a W"List". We then access the arguments of the list to get the coefficients we want.

julia> a=weval(W"Series"(W"Hypergeometric1F1"(0.1,0.02, W"z"),(W"z",-1,5)))
W`SeriesData[z, -1, List[-2.0401353687919177, 1.6538235838749207, 0.9454567962158056, 0.33340658574157367, 0.08626703289712206, 0.017680673659342557], 0, 6, 1]`
julia> series =a.args[3].args
6-element Vector{Float64}:
 -2.0401353687919177
  1.6538235838749207
  0.9454567962158056
  0.33340658574157367
  0.08626703289712206
  0.017680673659342557

from mathlink.jl.

I think that this solves the original question, and I will close this ticket.

from mathlink.jl.