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Stepan Yanchenko

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INASAN

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19 Oct 2006 Confluent hypergeometric function (Kummer function) Computes confluent hypergeometric function 1F1 for complex parameters a, b and complex variable z. Author: Stepan Yanchenko hypergeometric, special, confluent, kummer, function, complex 55 10
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03 Nov 2009 Confluent hypergeometric function (Kummer function) Computes confluent hypergeometric function 1F1 for complex parameters a, b and complex variable z. Author: Stepan Yanchenko Rishab

Some time I encouter the following error/warning while using the function:

!!!Warning!!! Only the first 0 digits are correct

Any idea why this is happening ?
29 Sep 2008 Confluent hypergeometric function (Kummer function) Computes confluent hypergeometric function 1F1 for complex parameters a, b and complex variable z. Author: Stepan Yanchenko Research, Great

Absolutely wrong code. Should be immediately deleted as it doest not work at all.
11 Sep 2008 Confluent hypergeometric function (Kummer function) Computes confluent hypergeometric function 1F1 for complex parameters a, b and complex variable z. Author: Stepan Yanchenko Nandan, Harsh

Hi,

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.

Can someone help regarding this?

Thanks for writing this function :)

Regards
Nandan
28 Mar 2008 Confluent hypergeometric function (Kummer function) Computes confluent hypergeometric function 1F1 for complex parameters a, b and complex variable z. Author: Stepan Yanchenko Le, Yong

Dear Dr. Stepan Yanchenko

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.

Please Email to me...
15 Dec 2007 Confluent hypergeometric function (Kummer function) Computes confluent hypergeometric function 1F1 for complex parameters a, b and complex variable z. Author: Stepan Yanchenko Silva, Olavo

I have made a translation to Fortran code (double precision) and found some problems. For the values (a=-2i,b=1,z=-2ik, for k=10,11,12,...,20) the program was unable to calculate the value (the end of the loop up to 500 steps was reached). The program has warned correctly, though. Is there any possibility to overcome this problem (blind regions in the domain of z)?
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complex, confluent, function, hypergeometric, kummer
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19 Oct 2006 Confluent hypergeometric function (Kummer function) Computes confluent hypergeometric function 1F1 for complex parameters a, b and complex variable z. Author: Stepan Yanchenko hypergeometric, special, confluent, kummer, function, complex 55 10
  • 3.16667
3.2 | 6 ratings
 

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