A STUDY ON MULTI-STIRLING NUMBERS OF THE FIRST KIND-Reference-Cited by-同舟云学术

A STUDY ON MULTI-STIRLING NUMBERS OF THE FIRST KIND

Published:2022-11-23 Issue:10 Volume:30 Page:
ISSN:0218-348X
Container-title:Fractals
language:en
Short-container-title:Fractals

Author:

MA YUANKUI¹,KIM DAE SAN²,LEE HYUNSEOK³,PARK SEONGHO³,KIM TAEKYUN¹³

Affiliation:

1. School of Science, Xi’an Technological University, Xi’an, Shaanxi 710021, P. R. China

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

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

Abstract

In this paper, we define the multi-Stirling numbers of the first kind by means of the multiple logarithm and as a generalization of the Stirling numbers of the first kind. Then we introduce two additional special numbers by using the multiple logarithm, namely the modified multi-Bernoulli numbers as a generalization of the higher-order Bernoulli numbers and the multi-Lah numbers of type 2 as a generalization of the Lah numbers. For both of these special numbers, we derive explicit expressions for them which involve the multi-Stirling numbers of the first kind.

Funder

National Natural Science Foundation of China

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/S0218348X22402587

Reference7 articles.

1. ON AN APPLICATION OF THE MULTIPLE LOGARITHMIC RESIDUE TO THE EXPANSION OF IMPLICIT FUNCTIONS IN POWER SERIES

2. A note on poly-Bernoulli and higher-order poly-Bernoulli polynomials

3. Degenerate Lah–Bell polynomials arising from degenerate Sheffer sequences

4. Complete and incomplete Bell polynomials associated with Lah–Bell numbers and polynomials