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math.GM2024
An approach to Borwein integrals from the point of view of residue theory
Daniel Cao Labora, Gonzalo Cao Labora
Borwein integrals are one of the most popularly known phenomena in contemporary mathematics. They were found in 2001 by David Borwein and Jonathan Borwein and consist of a simple f…
math.GM2023
A visual and simple proof for the Picard Little Theorem
Daniel Cao Labora
One of the most famous results in Complex Analysis is the Little Picard Theorem, that characterizes the image set of an arbitrary entire function. Specifically, the theorem states…