A Note on Low Factorial Based Polynomials
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Authors
Giuseppe Dattoli1, *
1
Department of Fusion and Technology for Nuclear Safety and Security, Frascati Research Center, Italian National Agency for New Technologies, Energy and Sustainable Economic Development (ENEA), Rome, Italy
*
Corresponding author. Email: pinodattoli@libero.it
Corresponding Author
Giuseppe Dattoli
Article History
Received 20 May 2023Revised 10 June 2023
Accepted 9 October 2023
Available Online 29 November 2023
- DOI
- https://doi.org/10.55060/s.atmps.231115.008
- Keywords
- Mittag-Leffler polynomials
Umbral formalism(s)
Monomiality formalisms - Abstract
The theory of special polynomials, and of special functions as well, is greatly simplified by the use of algebraic methods of umbral nature. In this article we embed the umbral and monomiality formalism to study special polynomials expressed in terms of lower factorial polynomials. We touch on the theory of Mittag-Leffler polynomials and derive the relevant properties using elementary means. We also provide a general description of non-standard partial differential equations, playing a central role in the theory of this family of polynomials.
- Copyright
- © 2023 The Authors. Published by Athena International Publishing B.V.
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (https://creativecommons.org/licenses/by-nc/4.0/).
Cite This Article
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TY - CONF AU - Giuseppe Dattoli PY - 2023 DA - 2023/11/29 TI - A Note on Low Factorial Based Polynomials BT - Proceedings of the 1st International Symposium on Square Bamboos and the Geometree (ISSBG 2022) PB - Athena Publishing SP - 85 EP - 94 SN - 2949-9429 UR - https://doi.org/10.55060/s.atmps.231115.008 DO - https://doi.org/10.55060/s.atmps.231115.008 ID - Dattoli2023 ER -
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