Results 31 to 40 of about 384 (65)

A Note on Type 2 Degenerate Multi-Poly-Bernoulli Polynomials and Numbers

, 2020
Inspired by the de…nition of degenerate multi-poly-Genocchi polynomials given by using the degenerate multi-polyexponential functions. In this paper, we consider a class of new generating function for the degenerate multi-poly-Bernoulli polynomials ...
W. Khan, Aysha Khan, U. Duran
semanticscholar   +1 more source

Fourier series of functions involving higher-order ordered Bell polynomials

Open Mathematics, 2017
In 1859, Cayley introduced the ordered Bell numbers which have been used in many problems in number theory and enumerative combinatorics. The ordered Bell polynomials were defined as a natural companion to the ordered Bell numbers (also known as the ...
Kim Taekyun, Kim Dae San, Jang Gwan-Woo, Jang Lee Chae   +3 more
doaj   +1 more source

Analytic Continuation of weighted q-Genocchi numbers and polynomials

, 2012
In the present paper, we analyse analytic continuation of weighted q-Genocchi numbers and polynomials. A novel formula for weighted q-Genocchi- Zeta function {\zeta}G,q (s | {\alpha}) in terms of nested series of {\zeta}G,q (n | {\alpha}) is derived ...
Acikgoz, Mehmet, Araci, Serkan, Gursul, Aynur   +2 more
core   +1 more source

On quotients of Riemann zeta values at odd and even integer arguments

, 2013
We show for even positive integers $n$ that the quotient of the Riemann zeta values $\zeta(n+1)$ and $\zeta(n)$ satisfies the equation $$\frac{\zeta(n+1)}{\zeta(n)} = (1-\frac{1}{n}) (1-\frac{1}{2^{n+1}-1}) \frac{\mathcal{L}^\star(\mathfrak{p}_n ...
Kellner, Bernd C.
core   +1 more source

Some identities on derangement and degenerate derangement polynomials

, 2017
In combinatorics, a derangement is a permutation that has no fixed points. The number of derangements of an n-element set is called the n-th derangement number.
AM Garsia, DS Kim, J-L Lavoie, JB Remmel, L Carlitz, ML Wachs, T Kim, T Kim, T Kim, T Kim, T Kim, T Kim, T Kim, T Kim, W Heise   +14 more
core   +1 more source

A note on λ-analogue of Lah numbers and λ-analogue of r-Lah numbers

Demonstratio Mathematica
In this study, we introduce the λ\lambda -analogue of Lah numbers and λ\lambda -analogue of rr-Lah numbers in the view of degenerate version, respectively.
Kim Taekyun, Kim Hye Kyung
doaj   +1 more source

Recurrence for probabilistic extension of Dowling polynomials

Open Mathematics
Spivey found a remarkable recurrence relation for Bell numbers, which was generalized to that for Bell polynomials by Gould-Quaintance. The aim of this article is to generalize their recurrence relation for Bell polynomials to that for the probabilistic ...
Ma Yuankui, Kim Taekyun, Kim Dae San, Xu Rongrong   +3 more
doaj   +1 more source

Investigating Exponential and Geometric Polynomials with Euler-Seidel Algorithm [PDF]

, 2010
In this paper we use Euler-Seidel matrices method to find out some properties of exponential and geometric polynomials and numbers.
Dil, Ayhan, Kurt, Veli
core  

Probabilistic degenerate poly-Bell polynomials associated with random variables

Mathematical and Computer Modelling of Dynamical Systems
Let [Formula: see text] be a random variable whose moment generating function exists in a neighbourhood of the origin. The aim of this paper is to study the probabilistic degenerate poly-Bell polynomials associated with the random variable [Formula: see ...
Pengxiang Xue, Yuankui Ma, Taekyun Kim, Dae San Kim, Wenpeng Zhang   +4 more
doaj   +1 more source

Probabilistic degenerate Bernoulli and degenerate Euler polynomials

Mathematical and Computer Modelling of Dynamical Systems
Recently, many authors have studied degenerate Bernoulli and degenerate Euler polynomials. Let [Formula: see text] be a random variable whose moment generating function exists in a neighbourhood of the origin.
Lingling Luo, Taekyun Kim, Dae San Kim, Yuankui Ma   +3 more
doaj   +1 more source