bernstein functions 1dielectric spectroscopy 1fractional calculus 1hypergeometric functions 1passive system modeling 1relaxation dynamics 1sonine kernels 1state-space realization 1stieltjes functions 1tricomi function 1
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math-ph2026
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…
math-ph2026★ 1 cited
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…