All Questions
7 questions
2
votes
1
answer
205
views
Program for efficient computation of given functional:
I need to plot the following functional with accuracy:
$$
I(x,s) =\int_0^\infty\mathrm dy \frac{F(x + \mathrm iy,s) − F(x −\mathrm iy,s)}{\mathrm e^{2πy}-1},
$$
Where $ F(z,s) = \dfrac{1}{z^s\Gamma(\...
- 223
2
votes
1
answer
158
views
How to speed up the calculation of a multi-dimension matrix involving symbolic integral?
The following program succeeds in getting matrix CC, but it takes time badly, especially in the case varNumber becomes larger just as the following ...
- 693
5
votes
1
answer
997
views
Tips for Complicated Indefinite Integrals
I would like to have an analytical expression for some complicated indefinite integrals (example below). I am able to solve these integrals numerically, and I am able to plot them in Mathematica, ...
- 289
1
vote
1
answer
130
views
Fastest form of a function
I'm trying to find the fastest form for a function. I have a few approaches with test results.The function I'm working with is the 3rd derivative of the incomplete beta function with respect to its ...
- 845
4
votes
3
answers
1k
views
Slow integration of simple integral
The simple integral
Integrate[ b*Cos[2*Pi*((z - z1)/c)] + a*Sin[2*Pi*((z - z1)/c)], {z, 0, c}]
is evaluated much slower if a ...
- 605
0
votes
2
answers
159
views
Asymptotic form of the "strange" function
I want to find the asymptotic form of this function
...
- 9,076
5
votes
2
answers
322
views
Only perform a symbolic differentiation once
I want to define a function that involves a differentiation step that Mathematica can do easily, which might be of the form
...
- 10.3k