I am solving a structural dynamics problem which makes use of fractional integral of exp(alpha*t) which in turns makes use of hypergeometric function. I was earlier using hypergeom function from matlab but as it is based on symbolic tool it is bit slow. I came across this function and was trying out this function I get the following error when this function is used with following values:
KummerComplex(1.00,1.3333,-2.4179 + 13.2744i)
while
hypergeom(1.00,1.3333,-2.4179+13.2744i) = 0.0364 + 0.0287i
even Hypergeometric1F1 in mathematica gives the same value as hypegeom.
I have used this Matlab program in my paper. So , I should acknowledge you. Can you send me your department and institution? , which may be wrote in my paper.
Do you have interest in solving another difficult problem.
How can we compute the special function ---Hermite function Hv(x).
The Hermite function satisfy the differential equation y''-2xy'+2ny =0.
It should point out that HermiteH[n,x] can be computed in mathematic with any complex parameters n and x.
If you can extend n and x to any complex parameters in Matlab, it will be much contribute to Matlab users.
I very expect that you can solve this problem.Thus, many problem can be solved in Matlab.
Thank you very much for your consideration.
