\(1^{st}\) announcement for the 2023 Midwestern Workshop on Asymptotic Analysis - October 13 - 15 at #IUPUI . Graduate students and all participants are welcome to contribute a research poster.
Online registration (free!) and schedule of speakers now online at:
http://mwaa.math.iupui.edu/
#NSFfunded #MathConference #ComplexAnalysis #RealAnalysis #Indianapolis

From "Function Theory in Several Complex Variables" by Toshio Nishino (1996)

https://bookstore.ams.org/mmono-193?utm_source=dlvr.it&utm_medium=mastodon

#math #complexanalysis

\(0^{th}\) announcement (save the date) for the 2023 Midwestern Workshop on Asymptotic Analysis - October 13 - 15 at #IUPUI
Coming soon: web site update with more information and the list of speakers
http://mwaa.math.iupui.edu/
#MathConference #ComplexAnalysis #RealAnalysis #Indianapolis

A new math bird is posted!

https://fractalkitty.com/2023/07/01/valley-quails-airfoil/

Thanks everyone for the suggestions on curves - I went with the airfoil :)

Just a reminder - I take requests for favorite birbs. I prefer north american ones I have observed, but am open to suggestions.

#mathart #birb #birdwatching #mathbird #joukowski #airfoil #complexAnalysis

I went down a rabbit hole starting yesterday afternoon, and now I am reading about Cauchy's residue theorem, and I think I am well over my head. I did take a university class on complex analysis, but that was 20 years ago! It would be nice if physics papers also included algorithms to be able to code the problems without having to learn (or relearn) about such complicated mathematical concepts. Or better yet, just make the code available. #Physics #Mathematics #ComplexAnalysis #AcademicChatter

studying #ComplexAnalysis rn

This paper's Theorem 1.8 seems to extend the Koebe 1/4 Theorem of #ComplexAnalysis into n-dimensional real spaces, which could be #VeryUseful in getting reliable¹ #DistanceEstimate formulas for 3D #fractals.

> Quasiconformal analogues of theorems of Koebe and Hardy-Littlewood.
> K. Astala and F. W. Gehring
> Michigan Math. J. Volume 32, Issue 1 (1985), 99-107.
> https://projecteuclid.org/euclid.mmj/1029003136

Has some pre-requisites I need to research further, like knowing what K-quasiconformal means. If only I understood it enough to calculate the coefficient c (which is 4 for conformal complex functions), which depends only on the K of the function and the dimension of the space...

The "integrate the log of the Jacobian over the largest ball that fits inside the domain" part might be tricky in practice too, maybe some luck will mean something turns out to be harmonic so it can be evaluated at the center only? Not sure about any of this. Maybe I'm in over my head...

#AmReading #maths

¹ reliable means "this is a proven lower bound" so that sphere-marching renderers will never overstep