Explicit, Determinantal, and Recurrent Formulas of Generalized Eulerian Polynomials

Author:

Wang YanORCID,Dağli Muhammet CihatORCID,Liu Xi-MinORCID,Qi FengORCID

Abstract

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 for generalized Eulerian polynomials.

Funder

National Natural Science Foundation of China

Natural Science Foundation of Inner Mongolia

Foundation of the Research Program of Science and Technology at Universities of Inner Mongolia

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

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