New degenerated polynomials arising from non-classical Umbral Calculus

Autor:	Herscovici, Orli, Mansour, Toufik
Rok vydání:	2018
Předmět:	Mathematics - Number Theory Mathematics - Combinatorics 05A10 05A30 11B65 11B68
Druh dokumentu:	Working Paper
Popis:	We introduce new generalizations of the Bernoulli, Euler, and Genocchi polynomials and numbers based on the Carlitz-Tsallis degenerate exponential function and concepts of the Umbral Calculus associated with it. Also, we present generalizations of some familiar identities and connection between these kinds of Bernoulli, Euler, and Genocchi polynomials. Moreover, we establish a new analogue of the Euler identity for the degenerate Bernoulli numbers.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1811.02342 Zobrazit plný text záznamu View this record from Arxiv