From the 2 of 5 linked papers with an AI index.
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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 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…