Blogs about: Complex Analysis
Featured Blog
Position of roots
The following result is quite useful in irreductibility problems for polynomials. Prove that if then all the roots of satisfy or a root of unity of some order. Solution: Suppose and (obviously since )… more →
Problems
Gaussian Primes
richbeveridge wrote 1 day ago: About 10 years ago, I latched onto the concept of Gaussian Primes. A Complex (or Gaussian) Prime wor … more →
Okay; now this is too original.
masksoferis wrote 5 days ago: … more →
Course on vector calculus via geometric algebra
Quirino M. Sugon Jr wrote 3 weeks ago: I just started teaching two courses on geometric algebra at the Physics Department of Ateneo de Mani … more →
Position of roots
beni22sof wrote 3 weeks ago: The following result is quite useful in irreductibility problems for polynomials. Prove that if then … more →
Minimal laminations with leaves of different conformal types
— 6 comments
Danny Calegari wrote 4 weeks ago: The “header image” for this blog is an example of an interesting construction in 2-dimen … more →
Schwarz-Christoffel transformations, Schwarzian derivatives, and Schwarz's minimal surface
— 1 comment
Danny Calegari wrote 1 month ago: Hermann Amandus Schwarz (1843-1921) was a student of Kummer and Weierstrass, and made many significa … more →
Injective Entire Functions
beni22sof wrote 1 month ago: Prove that all entire functions that are also injective, take the form with and . Solution: We take … more →
Every expansion has a 0
beni22sof wrote 1 month ago: Suppose is entire such that for each at least one of the coefficients of the expansion is equal to 0 … more →
Power series & number theory
beni22sof wrote 1 month ago: Let where denotes the number of divisors of . Calculate the radius of convergence of this series and … more →
Amazing property of entire functions
beni22sof wrote 1 month ago: Prove that if are non-constant, non-vanishing entire functions with then there exists an entire func … more →
Blaschke factors
beni22sof wrote 1 month ago: Take such that . Prove that if and and also if or . Prove that for any fixed in the unit disk , the … more →
Entire function
beni22sof wrote 2 months ago: Prove that if is an entire function and then is constant or there exists with and some positive inte … more →
Gutzmer-Parceval Formula
beni22sof wrote 2 months ago: Let be a holomorphic function on a domain containing . Prove that we have the following identity: . … more →
Failing At Buying Class Books
— 1 comment
range wrote 2 months ago: I tried and failed at trying to get Complex Variables by Berenstein & Gay in Springer Verlag tod … more →
A Proof of Liouville's Theorem in complex analysis
— 2 comments
Phi. Isett wrote 3 months ago: Liouville’s theorem in complex analysis says that the only bounded holomorphic functions are c … more →
Complex numbers: Physicist's point of view
Octavian wrote 4 months ago: We think the complex numbers as the extension of the real numbers: for if we are given a complex num … more →
A Group-Theoretic Approach to Understanding Hello! Project: Part 1
— 14 comments
Kirarin☆Snow ☃ wrote 4 months ago: Introduction: Hello! Project’s Central Mystery For ages, it has defied explanation, piggybacki … more →
On the Concept of Genus in Topology and Complex Analysis, Friedrich E. P. Hirzebruch and Matthias Kreck
trungtuan wrote 5 months ago: Thấy bài này hay trên Notices của AMS genus … more →
Graphing Complex Functions
richbeveridge wrote 5 months ago: In graphing real valued functions, each x value chosen is a real number, and each corresponding y va … more →
