One area of my current research: compute all countably infinitely many roots, z, of certain classes of transcendental functions, known as pseudopolynomials, e.g.
c1*z^a + c2*z^b + c3*(z+c4)^d = 0 for given complex numbers c1, c2, c3, c4 and arbitrary complex numbers a, b, d (in general not real, let alone rational).
Hence, my geometric thinking extends as far as the flat complex plane punctured full of countably infinitely many holes.
after i watched this video Chapter 2 section 1 lecture for, my insight is very open because the video is very good to give information
imegatrone 1 month ago
One area of my current research: compute all countably infinitely many roots, z, of certain classes of transcendental functions, known as pseudopolynomials, e.g.
c1*z^a + c2*z^b + c3*(z+c4)^d = 0 for given complex numbers c1, c2, c3, c4 and arbitrary complex numbers a, b, d (in general not real, let alone rational).
Hence, my geometric thinking extends as far as the flat complex plane punctured full of countably infinitely many holes.
nahaymath 9 months ago