Theory of relativistic heat polynomials and one-sided Lévy distributions

G. Dattoli, K. Górska, A. Horzela, K.A. Penson, E. Sabia

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

The theory of pseudo-differential operators is a powerful tool to deal with differential equations involving differential operators under the square root sign. These types of equations are pivotal elements to treat problems in anomalous diffusion and in relativistic quantum mechanics. In this paper, we report on new links between fractional diffusion, quantum relativistic equations, and particular families of polynomials, linked to the Bessel polynomials in Carlitz form and playing the role of relativistic heat polynomials.We introduce generalizations of these polynomial families and point out their specific use for the solutions of problems of practical importance.
Original languageEnglish
Article number063510
Pages (from-to)-
JournalJournal of Mathematical Physics
Volume58
Issue number6
DOIs
Publication statusPublished - 1 Jun 2017
Externally publishedYes

    Fingerprint

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

Dattoli, G., Górska, K., Horzela, A., Penson, K. A., & Sabia, E. (2017). Theory of relativistic heat polynomials and one-sided Lévy distributions. Journal of Mathematical Physics, 58(6), -. [063510]. https://doi.org/10.1063/1.4985072