From the 2 of 5 linked papers with an AI index.
1 citations · 1 across the 2 of their papers we have counts for
5 papers
A canonical two-scale Sonine fractional calculus induced by the Tricomi function
Ivano Colombaro, Marc Tudela-Pi
The paper develops a new fractional calculus based on the Tricomi function, showing it forms a Stieltjes function whose reciprocal is a complete Bernstein function, and defines ass…
Passive two-plateau relaxation from Tricomi confluent hypergeometric kernels
Marc Tudela-Pi, Ivano Colombaro
The paper proposes a non‑fractional passive modeling framework based on Tricomi confluent hypergeometric functions that yields two‑plateau relaxation responses with tunable low‑ an…
On mathematical characterization of a Bessel functions-based passive element in electronic circuits
Ivano Colombaro, Marc Tudela-Pi
Modeling relaxation phenomena in complex media is central to understanding multiscale dynamics in materials science, bioengineering and condensed matter physics. Existing fractiona…
On linear waves with memory in a Bessel-like medium
A. Giusti, I. Colombaro, A. Mentrelli
We discuss the propagation of harmonic and transient waves for systems governed by a wave equation with memory whose integral kernel involves ratios of modified Bessel functions of…
On exterior-algebraic quaternions with application to Maxwell equations
Ivano Colombaro
Within the framework of exterior algebra, the concept of time-like quaternions has been previously established. This paper advances beyond the existing structure by elucidating the…