Questions on the special mathematical functions implemented in Mathematica.
15
votes
0answers
367 views
Fast Spherical Harmonics radiative transfer
This is a rather specific question and I apologize for spamming you with some lengthy code. But it could be interesting for some reader and maybe you can help out, so please bear with me.
I am using ...
6
votes
0answers
258 views
Inverse Laplace transform not obtained
I can't seem to be able to compute the inverse Laplace transform of a Laplace transform:
...
5
votes
0answers
180 views
5
votes
0answers
82 views
Expansion of $E(i c \mid m)$ at $c\to\infty$?
Currently, I am using a Windows machine with Mathematica 8. I noticed a difference in a series expansion of the function EllipticE[] in comparison with a result ...
5
votes
0answers
235 views
Reproducing the Integral Definition of the Modified Bessel function
I need to simplify some integral expressions in terms of special functions, such as the modified Bessel function of the first kind. See for example Eq. (5) on this page. Notice that the real ...
3
votes
0answers
116 views
Why doesn't Log[Gamma[]] simplify to LogGamma[] where it could?
I have been playing with various equations involving amount of permutations in relatively large sets. Easiest way to look at these is something like Log[10, bignumber!] . Often expressions, even ...
2
votes
0answers
47 views
2
votes
0answers
45 views
RSolve and incomplete gamma function
I am interested in how Mathematica uses the incomplete gamma function to solve difference equations. For example, if we have this inhomogeneous, 2nd order equation and use ...
1
vote
0answers
75 views
Getting poles of a Gamma functions
Why do the following 2 sequences give different answers?
n = 1.5
Series[Gamma[0.5 - n - x], {x, 0, 2}]
Series[Gamma[-1 - x], {x, 0, 2}]
(..clearly the output from the second expression is ...
0
votes
0answers
100 views
Searching for roots of complex function
I'm searching for roots of complex function
$$
2\imath q \ln(-2\imath k)+\imath\pi-2\imath \Im(\ln(\Gamma(1+2\imath q)))+\ln(\frac{\Gamma(1+\imath q-\imath q x/k)}{\Gamma(1-\imath q-\imath q ...
0
votes
0answers
77 views
How to have Mathematica find asymptotics with correct asumptions
I'm tried to find a certain expansion of the Hypergeometric1F1 function using Mathematica:
...
