9.17.1 Top new questions this week

9.17.1.1 Fast Hankel Function in Mathematica
9.17.1.2 How can I produce a plot showing how fast A and B are accumulating?
9.17.1.3 Inverse Laplace Transform of Hypergeometric function
9.17.1.4 Numerically solving a non-linear integro-differential equation
9.17.1.5 Solving a matrix pencil (quadratic eigenvalue) problem with Mathematica
9.17.1.6 Calling Bard or ChatGPT from Mathematica to write programs
9.17.1.7 How can I wrap a cylinder?
9.17.1.1 Fast Hankel Function in Mathematica

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=285156

I am working on a project that requires repeated calls to HankelH1[0,r] for r spanning the full real axis. When I use the mathematica routine, it can be as much as 100x slower than the corresponding ... 
[performance-tuning] [special-functions] [mathlink-or-wstp] [librarylink]
 
asked by JonBean https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=92748 Score of 12
answered by Henrik Schumacher https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=38178 Score of 16
9.17.1.2 How can I produce a plot showing how fast A and B are accumulating?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=285193

I have the following array. How can I produce a plot showing how fast A and B are accumulating? There are no options other than "A" or "B". 
... 
[plotting] [list-manipulation]
 
asked by Indiana https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=35437 Score of 8
answered by bill s https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=1783 Score of 4
9.17.1.3 Inverse Laplace Transform of Hypergeometric function

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=285316

Any tips how to massage the following to get computed by Mathematica for $p>1$? I suspect the result should be expressible in terms of exponential integral 
... 
[calculus-and-analysis] [integral-transforms]
 
asked by Yaroslav Bulatov https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=217 Score of 6
answered by Mariusz Iwaniuk https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=26828 Score of 4
9.17.1.4 Numerically solving a non-linear integro-differential equation

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=285076

I am interested in solving the non-linear integro-differential equation 
$$ 
\frac{\mathrm{d} y}{\mathrm{d} \tau} = - \int_{0}^{\tau} \mathrm{d} s \, \big[ y(\tau -s) \big]^{2} y(s) ; \quad y (0) = 1 . 
$... 
[differential-equations] [numerical-integration] [integral-equations]
 
asked by jibe https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=9569 Score of 6
answered by Alex Trounev https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=58388 Score of 8
9.17.1.5 Solving a matrix pencil (quadratic eigenvalue) problem with Mathematica

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=285045

According to Wikipedia 
 
The matrix pencil of degree $\ell$ is the matrix-valued function 
defined on the complex numbers $L(k) = \sum_{i=0}^{\ell} k^{i} A_{i}$. 
 
Here $A_{\ell}$ are non-zero $n\times n$... 
[equation-solving] [matrix] [eigenvalues]
 
asked by Rob https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=66809 Score of 6
9.17.1.6 Calling Bard or ChatGPT from Mathematica to write programs

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=285037

I asked Bard to "Write Mathematica code for Newton's Method" and it returned 
... 
[function-construction] [chatai]
 
asked by Moo https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=36141 Score of 6
answered by Anton Antonov https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=34008 Score of 9
9.17.1.7 How can I wrap a cylinder?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=285227

I was trying to wrap a cylinder in a torus, and the best I've done was the following code: 
... 
[graphics] [manipulate] [parametric-functions]
 
asked by Oscar Hernández https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=92776 Score of 5
answered by cvgmt https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=72111 Score of 4