A FINITE SUM INVOLVING GENERALIZED FALLING FACTORIAL POLYNOMIALS AND DEGENERATE EULERIAN POLYNOMIALS-Reference-Cited by-同舟云学术

A FINITE SUM INVOLVING GENERALIZED FALLING FACTORIAL POLYNOMIALS AND DEGENERATE EULERIAN POLYNOMIALS

Published:2022-10-31 Issue:10 Volume:30 Page:
ISSN:0218-348X
Container-title:Fractals
language:en
Short-container-title:Fractals

Author:

KIM TAEKYUN¹,KIM DAE SAN²,PARK JIN-WOO³,BOULAARAS SALAH MAHMOUD⁴

Affiliation:

1. Department of Mathematics, Kwangwoon University, Seoul 139-701, Republic of Korea

2. Department of Mathematics, Sogang University, Seoul 121-742, Republic of Korea

3. Department of Mathematics Education, Daegu University, Daegu, Republic of Korea

4. Department of Mathematics, College of Science and Arts, Qassim University, Alras City, Qassim, Saudi Arabia

Abstract

The aim of this paper is two-fold. First, we investigate a finite sum involving the generalized falling factorial polynomials, in some special cases of which we express it in terms of the degenerate Stirling numbers of the second kind, the degenerate Bernoulli polynomials and the degenerate Frobenius–Euler polynomials. Second, we consider the degenerate Eulerian polynomials and deduce the generating function and a recurrence relation for them.

Funder

National Research Foundation of Korea(NRF), Korea government

Publisher

World Scientific Pub Co Pte Ltd

Subject

Applied Mathematics,Geometry and Topology,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218348X22401910

Reference21 articles.

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