# Tag Info

Accepted

### Can Mathematica calculate this elliptic, triple integral?

Doing the Integrals separately for a, b and c gives the answer $\frac{128}{45 \pi}\sim 0.905415$, which agrees with the numerical estimate from NIntegrate: ...
• 1,838
Accepted

### Fast Hankel Function in Mathematica

This is LibraryLink code with compiler and linker options specifically for macos on Apple Silicon. These are the prerequisites to compile and run this successfully: XCode installed along with the ...

### The time-like geodesics (orbits) in the Schwarzschild spacetime

Studying basic solutions at the theoretical physics it is advantageous when one can get an exact solution. At the first sight one can see that the solution can be given in terms of elliptic functions ...
• 57.6k

### Circular Aperture Diffraction Pattern

Physicist chiming in - Hi!. I believe there has been some confusion here. It seems to me that OP is meaning to plot an Airy disk which was studied by G.B. Airy but is not given by the Airy function. ...
Accepted

### Zeta zeros bug in Mathematica 12.0.0.0

Workaround: This issue seems to be related to caching of previous numerical values. If we clear the cache during each iteration we get a result back: ...
• 36.4k
Accepted

### Mathematica implementation of Zeilberger's algorithm (previously done in Maple)

There is also a newer package, HolonomicFunctions, that has an implementation of Chyzak's generalization of Zeilberger's algorithm. To perform the desired task, use the following commands: ...
Accepted

### Integral Too Hard For Mathematica

This problem can be solved numerically by ...
• 61.8k
Accepted

### Is it possible to change/customize some conversions done by TeXForm?

You could use my TeXUtilities package: ...
• 15.1k

• 131k
Accepted

### How to get the expression of a special function?

reps = Entity["MathematicalFunction", "Gamma"][ "IntegralRepresentations"] reps[[2]][z] EDIT:...
• 161k
Accepted

### Closed form of an integral using Mathematica or otherwise

We can substitute $\left\{~ u = 1 - xy,~ v = y ~\right\}$ using IntegrateChangeVariables to get a nice expression for the integral: ...
• 4,867
Accepted

### Calculating sum of BesselJ[n, x]

Mathematica returns Sum[BesselJ[n, x]^2/(n - k), {n, -Infinity, Infinity}] unevaluated. However, BesselJ[n, x]^2 and ...
• 61.8k
Accepted

### Backslide in NSolve in V11.1?

It is a bug in V11.1. As a workaround, you can put the following in your init.m file. ...
• 3,520

### Why doesn't Lambert function (ProductLog) simplify?

The identity does not hold for x < -1: Plot[ProductLog[x*Exp[x]], {x, -5, 5}] ...
• 272k
Accepted

### Getting wrong limit with Bessel

I think it is something like a bug of Mathematica: It seems that Mathematica uses Series in order to calculate the Limit. When you take Series up to a expansion order that is high enough, you get the ...
• 17.3k

### Assumptions allowing to calculate an elliptic integral

There are two different issues: suboptimal handling of elliptic integrals in Mathematica, this is why Integrate with appropriate assumptions doesn't provide ...
• 57.6k