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Looking for Mittag-Leffler function [message #37991]

Wed, 11 February 2004 08:28

mzkiss
Messages: 2
Registered: February 2004

Junior Member

Hi everyone! I am trying to write a code which will generate the
Mittag-Leffler function,

E_alpha(x) = sum(k = 0 to infinity) (x^k)/gamma(alpha*k + 1).

There are more general cases, but in this particular application,
x is real, and alpha is between 0 and 1. Oh, and as a special case,
if alpha = 1, then this reduces to exp(x). My problem is that coding
it up as is works up to a point before reaching machine limits (x^k
for large x and large k, as well as large values of the gamma
function), but I need solutions for large x (x >= 20).
Can anyone point me in the right direction?
Thanks,
Mik Kiss

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		Looking for Mittag-Leffler function By: mzkiss on Wed, 11 February 2004 08:28
		Re: Looking for Mittag-Leffler function By: mzkiss on Fri, 13 February 2004 11:44

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