All Questions
8 questions
5
votes
1
answer
366
views
How to plot the result of this singular integral?
Please I open a new post here after this one : https://mathematica.stackexchange.com/a/59203/10158
Now I want to plot the function $f(a,b)$ as a function of $b$ for different values of $a$ : $a=0.5$ ,...
- 425
1
vote
2
answers
276
views
How to define a function that is related to derivative of Jacobi theta function
I would like to make 3D plot of the following function.
...
- 335
16
votes
3
answers
1k
views
How do I numerically evaluate and plot the Fabius function?
The Fabius function is a well-known example in analysis of a non-analytic function that is infinitely differentiable. I want to be able to numerically evaluate the function for any real argument, as ...
- 161
11
votes
1
answer
418
views
Vastly incorrect answers obtained by increasing WorkingPrecision with modified Bessel functions
Bug introduced in 7.0 or earlier and fixed in 11.0
This is a follow-up to this question regarding numerical instabilities occurring with modified Bessel functions. In trying to explore J.M.'s answer ...
- 743
6
votes
2
answers
412
views
Imaginary terms in the derivative of Jacobi theta function (2) on the real line
I am trying to calculate/plot the derivative of the second Jacobi theta function $d\theta_2(0, e^{-\pi t} )/dt$.
Calculating or plotting the function itself works fine:
...
- 61
4
votes
3
answers
306
views
Constant curvature surfaces. Revolution of the graphs of solutions to a nonlinear differential equation
I have the following differential equation:
$$\pi\cdot\text{y}(x)^2=\sqrt{1+\text{y}'(x)^2}\tag1$$
With the initial condition $\text{y}(0)=1$.
Now, I want to plot the solution in order to obtain the ...
- 2,021
3
votes
2
answers
903
views
Nested Integrate and NIntegrate: Analytic and Numeric solutions?
Here is a function $F(r)$ which contains double integrations
$$F(r)=\exp\left[ \int_{0}^r dw \,\exp\left(-\int_{0}^w ds
\frac{s^2}{s^2+1} \left(1-\exp(- s)\right) \right) \right]$$
I am fine ...
- 207
1
vote
2
answers
285
views
