3 papers
math.CA2015
On a Class of Harmonic-like numbers
Juan Pla
We define a class of rational numbers including, as a particular case, the classical harmonic numbers. For one particular instance we apply it to the expansion into powers series o…
math.CA2015
A Generalization of the arctg function
Juan Pla
In this paper we define a family of continuous functions of an arbitrary number of variables, and prove that they all satisfy a generalization of one of the classical functional eq…
math.CA2015
A tale of Two Integrals: The Probability and Ahmed's Integrals
Juan Pla
We show that Ahmed's Integral is closely related to the fourth power of the Probability Integral