Umbral operational techniques offer sturdy mechanism in the studies of special functions and special polynomials. The techniques of umbral calculus are employed to derive properties of families of exponential-like functions and their hyperbolic forms. The generalized forms of Mittag-Leffler functions are used to solve technical problems concerning transport of a charged beam in a solenoid magnet. The proposed method is flexible and has many advantages over standard computational techniques.
Dattoli, G., Khan, S., Haneef, M., Licciardi, S. (2023). On umbral properties of a family of hyperbolic-like functions appearing in magnetic transport problem. REPORTS ON MATHEMATICAL PHYSICS, 92(1), 37-48 [10.1016/S0034-4877(23)00053-8].
On umbral properties of a family of hyperbolic-like functions appearing in magnetic transport problem
Licciardi, Silvia
2023-08-01
Abstract
Umbral operational techniques offer sturdy mechanism in the studies of special functions and special polynomials. The techniques of umbral calculus are employed to derive properties of families of exponential-like functions and their hyperbolic forms. The generalized forms of Mittag-Leffler functions are used to solve technical problems concerning transport of a charged beam in a solenoid magnet. The proposed method is flexible and has many advantages over standard computational techniques.
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