Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8959528 | Journal of Mathematical Analysis and Applications | 2018 | 14 Pages |
Abstract
We develop a new point of view to introduce families of functions, which can be identified as generalization of the ordinary trigonometric or hyperbolic functions. They are defined using a procedure based on umbral methods, inspired by the Bessel Calculus of Bochner, Cholewinsky and Haimo. We propose further extensions of the method and of the relevant concepts as well and obtain new families of integral transforms allowing the framing of the previous concepts within the context of generalized Borel transform.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
G. Dattoli, S. Licciardi, R.M. Pidatella,