Top Tweets for #complexanalysis
๐ข New in Axioms ๐ฐ
Welcome to read the recent paper "A General Theorem on Sharp Evaluation of Polynomial Coefficients" by Samuel L. Krushkal.
๐ Read it here: https://t.co/MwTvkMNlif
#holomorphy #quasiconformaldeformations #holomorphicfunctions #polynomials #complexanalysis
When is a complex function truly differentiable? The CauchyโRiemann equations give us the answer. By linking the partial derivatives of the real and imaginary parts of a function, they establish the precise condition for complex differentiability.
#ComplexAnalysis #Mathematics

The structure of the automorphism group of a complex manifold M, consisting of all holomorphic homeomorphisms M โ M, was studied since the late 1800s. Here's a sample of some of the classic results of Hurwitz, Cartan, and Kobayashi. #math #calculus #ComplexAnalysis #algebra

Guys , I am able to solve general polynomial equation, I am not claiming but somehow it's i find it and if u r interested how i derived it it's given below in this link : https://t.co/REEnYD8wqE
#Mathematics #Algebra #Cricket #IndvsWI #Viratkholi #Complexanalysis
Looks 3D, but there's no third coordinate: an IFS of maps โโโ, rendered in the GaussโArgand plane. The apparent relief comes from nested self-similar overlaps, not depth.
#builtWithMarimo #python #MathArt #ComplexAnalysis

Want to explore complex analysis in a more visual and interactive way? ๐ง ๐ป
Explore, visualise, and learn complex analysis interactively with this project:
https://t.co/hIv4BhB2gw
#ComplexAnalysis #Mathematics #MathEducation #Learning
#Lobachevsky #ComplexAnalysis Hereโs my full solution to the difficult integral posted by @USDescartes, quoted below. I used Lobachevskyโs integral formula and the residue theorem. I put the applicable contour in a reply.

Problem of the Weekend!
Okay, this is the evilest integral I've ever invented. Let's see what people can come up with! I worked backwards at each step, so... I'm calling out my integration friends, specifically @chris_juravich, @Ionely_warrior, @CPierre67, @drpkmath, @sonukg4india2, @fpmarin, @aVanishingCycle, @MaureenNeesp6k, and others! Mathematica's numerical integration is off by 3%. I am VERY interested to know if someone can find a shorter way to do it than I did.
#POTD #Math #Integration #Impossible

A Traditional Korean Symbol Reimagined Through Complex Geometry ๐ฐ๐ท๐
#samtaegeuk #complexanalysis #mathart
Ever wondered how mathematicians extend functions beyond their obvious limits? Riemann's zeta function uses analytic continuation to map complex numbers, revealing a smooth, unique extension. It's the magic behind 1+2+3+4 = -1/12! #Math #RiemannZeta #ComplexAnalysis
Each triangle joins the 3 preimages of a boundary point under a degree-3 Blaschke product; every side is tangent to one fixed ellipse with foci at the two nonzero zeros.
#builtWithMarimo #Python #Numpy #Matplotlib #ComplexAnalysis #MathArt
Complex analysis is pure beauty: inside the unit disk lies an entire world. For example a Blaschke product colors every point by the phase of its image and each polygon you see connects points that share that exact same color.
#builtWithMarimo #python #numpy #matplotlib
#ComplexAnalysis Hereโs my residue theorem solution of the problem recently posted by @USDescartes.


A statement of when the functional #calculus can be used. It tell us when we can form analytic functions f(T) of operators T on Hilbert space, including complex matrices. This definition agrees with complex polynomial functions of T. #math #topology #ComplexAnalysis

Domain coloring of the complex Gauss map F(z) = 1/z โ [1/z], with [ยท] the nearest Gaussian integer. Disks appears because inversion 1/z sends the grid lines around each Gaussian integer to circles through 0.
#ComplexAnalysis #MathArt
Made with #python #mlx #matplotlib #marimo
![S_Conradi's tweet photo. Domain coloring of the complex Gauss map F(z) = 1/z โ [1/z], with [ยท] the nearest Gaussian integer. Disks appears because inversion 1/z sends the grid lines around each Gaussian integer to circles through 0.
#ComplexAnalysis #MathArt
Made with #python #mlx #matplotlib #marimo https://t.co/DjAVSDOOrC](https://pbs.twimg.com/media/HM7uliTXwAA4KUk.jpg)

Complex Domain Coloring. Visualizing a function in the complex plane where hue represents the phase angle and brightness represents the magnitude. A map of mathematical singularities.
#ComplexAnalysis #Mathematics #DataVis
The Laurent series goes where standard power series cannot: by utilizing both positive and negative powers, it allows us to analyze complex functions in the circular zones directly surrounding singular points.
#Math #Mathematics #Calculus #STEM #MathType #ComplexAnalysis

#NextatBIRS Applications of Harmonic Analysis to Convex Geometry, April 26 - May 1, 2026 https://t.co/onnTlSJS10
#FunctionalAnalysis #ComplexAnalysis #HarmonicAnalysis #EuclideanSpaces #DiscreteGeometry
@NSF-MPS #DMSFunded @Innovation_AB @NSERC_CRSNG @CRSNG_NSERC
April 18, 1907 โ Lars Ahlfors was born.
A pioneer of complex analysis, he made major contributions to the theory of Riemann surfaces and was one of the first Fields Medalists in 1936. His work still influences mathematics today. ๐โจ
#OnThisDay #Mathematics #ComplexAnalysis

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