5,060 research outputs found
Some identities of degeenrate ordered Bell polynomials and numbers arising from umbral calculus
In this paper, we study degenerate ordered Bell polynomials with the
viewpoint of Carlitz's degenerate Bernoulli and Euler polynomials and derive by
using umbral calculus some properties and new identities for the degenerate
ordered Bell polynomials associated with special polynomials.Comment: 19 page
Higher-order Daehee numbers and polynomials
Recently, Daehee numbers and polynomials are introduced by the authors. In
this paper, we consider the Daehee numbers and polynomials of order k and give
some relation between Daehee polynomials of order k and special polynomialsComment: 9 page
Poly-Cauchy numbers and polynomials of the second kind
In this paper, we consider the poly-cauchy polynomials and numbers of the
second kind which were studied by Komatsu in [10]. We note that the poly-Cauchy
polynomials of the second kind are the special generalized Bernoulli
polynomials of the second kind. The purpose of this paper is to give various
identities of the poly-Cauchy polynomials of the second kind which are derived
from umbral calculus.Comment: 17 page
Fully degenerate poly-Bernoulli numbers and polynomials
In this paper, we introduce the new fully degenerate poly-Bernoulli numbers
and polynomials and investigate some properties of these polynomials and
numbers. From our properties, we derive some identities for the fully
degenerate poly-Bernoulli numbers and polynomials.Comment: 15 page
Extended stirling polynomials of the second kind and extended Bell polynomials
Recently, several authors have studied the Stirling numbers of the second
kind and Bell polynomials. In this paper, we study the extended Stirling
polynomials of the second kind and the extended Bell polynomials associated
with the Stirling numbers of the second kind. In addition, we note that the
extended Bell polynomials can be expressed in terms of the moments of the
Poisson random variable with parameterComment: 12 page
-analogues of r-Stirling numbers of the first kind
In this paper, we study -analogues of the r-Stirling numbers of the
first kind which have close connections with the r-Stirling numbers of the
first kind and -Stirling numbers of the first kind. Specifically, we
give the recurrence relations for these numbers and show their connections with
the -Stirling numbers of the first kind and higher-order Daehee
polynomials.Comment: 1
Degenrate Eulerian numbers and polynomials
In this paper, we study the degenerate Eulerian polynomials and numbers and
give some new and interesting identities associated with several special
numbers and polynomials.Comment: 10 page
Weight Distributions of Hamming Codes
We derive a recursive formula determing the weight distribution of the
[n=(q^m-1)/(q-1), n-m, 3] Hamming code H(m,q), when (m, q-1)=1. Here q is a
prime power. The proof is based on Moisio's idea of using Pless power moment
identity together with exponential sum techniques
Symmetric identities of higher-order degenerate Euler polynomials
The purpose of this paper is to give some symmetric identities of
higher-order degenerate Euler polynomials derived from the symmetric properties
of the multivariate p-adic fermionic integrals on Zp.Comment: 9 page
Higher-order Changhee numbers and polynomials
In this paper, we consider the higher-order Changhee numbers and polynomials
which are derived from the fermionic p-adic integral on Zp and give some
relations between higher-order Changhee polynomials and special polynomials.Comment: 8 page
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