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math.GM2019
Dual Numbers and Operational Umbral Methods
Nicolas Behr, Giuseppe Dattoli, Ambra Lattanzi +1
Dual numbers and their higher order version are important tools for numerical computations, and in particular for finite difference calculus. Based upon the relevant algebraic rule…
math-ph2019
Operator Ordering and Solution of Pseudo-Evolutionary Equations
Nicolas Behr, Giuseppe Dattoli, Ambra Lattanzi
The solution of pseudo initial value differential equations, either ordinary or partial (including those of fractional nature), requires the development of adequate analytical meth…