Explicit, Determinantal, and Recurrent Formulas of Generalized Eulerian Polynomials

Explicit, Determinantal, and Recurrent Formulas of Generalized Eulerian Polynomials

In the paper, by virtue of the Faà di Bruno formula, with the aid of some properties of the Bell polynomials of the second kind, and by means of a general formula for derivatives of the ratio between two differentiable functions, the authors establish explicit, determinantal, and recurrent formulas...

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Bibliographic Details
Main Authors: Yan Wang, Muhammet Cihat Dağli, Xi-Min Liu, Feng Qi
Format: Article
Language:English
Published: MDPI AG 2021-03-01
Series:Axioms
Subjects:
Faà di Bruno formula
generalized Eulerian polynomial
Bell polynomial of the second kind
general formula for derivatives of the ratio between two differentiable functions
explicit formula
determinantal formula
Online Access:https://www.mdpi.com/2075-1680/10/1/37

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