2 papers
math.GM2026
Analytic umbral transmutations and Bessel moments
Roberto Ricci, Giuseppe Dattoli
We develop an analytic umbral approach to Bessel moments, using them as a concrete testbed justifying the passage from formal indicial umbral calculus to Mellin--Barnes umbral tran…
math.GM2026
Umbral methods, function factorisation and generalisation of the Fourier transform method
Giuseppe Dattoli, Roberto Ricci, Tommaso Severati
We propose a systematic way to construct trigonometric-like functions beyond the classical sine--cosine pair by factorising rational umbral operators. The guiding idea is simple: t…