3 papers
math.CA2023
An extension of the Cartwright-McMullen theorem in fractional calculus for the smooth Stieltjes case
Daniel Cao Labora
In 1976, Donald Cartwright and John McMullen characterized axiomatically the Riemann-Liouvile fractional integral in a paper that was published in 1978. The motivation for their wo…
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…
math.GM2023
Necessary and sufficient conditions for distances on the real line
Daniel Cao Labora, Francisco Javier Fernández, Fernando Adrián F. Tojo +1
When dealing with certain mathematical problems, it is sometimes necessary to show that some function induces a metric on a certain space. When this function is not a well renowned…