Results 31 to 40 of about 30,485 (178)

A Family of the r-Associated Stirling Numbers of the Second Kind and Generalized Bernoulli Polynomials

Axioms, 2021
In this article, we derive representation formulas for a class of r-associated Stirling numbers of the second kind and examine their connections with a class of generalized Bernoulli polynomials.
Paolo Emilio Ricci, Rekha Srivastava, Pierpaolo Natalini   +2 more
doaj   +1 more source

Poly-falling factorial sequences and poly-rising factorial sequences

Open Mathematics, 2021
In this paper, we introduce generalizations of rising factorials and falling factorials, respectively, and study their relations with the well-known Stirling numbers, Lah numbers, and so on.
Kim Hye Kyung
doaj   +1 more source

Generating Functions for New Families of Combinatorial Numbers and Polynomials: Approach to Poisson–Charlier Polynomials and Probability Distribution Function

Axioms, 2019
The aim of this paper is to construct generating functions for new families of combinatorial numbers and polynomials. By using these generating functions with their functional and differential equations, we not only investigate properties of these new ...
Irem Kucukoglu, Burcin Simsek, Yilmaz Simsek   +2 more
doaj   +1 more source

New type degenerate Stirling numbers and Bell polynomials

Notes on Number Theory and Discrete Mathematics, 2022
In this paper, we introduce a new type degenerate Stirling numbers of the second kind and their degenerate Bell polynomials, which is different from degenerate Stirling numbers of the second kind studied so far. We investigate the explicit formula, recurrence relation and Dobinski-like formula of a new type degenerate Stirling numbers of the second ...
openaire   +1 more source

On Degenerate Truncated Special Polynomials

Mathematics, 2020
The main aim of this paper is to introduce the degenerate truncated forms of multifarious special polynomials and numbers and is to investigate their various properties and relationships by using the series manipulation method and diverse special proof ...
Ugur Duran, Mehmet Acikgoz
doaj   +1 more source

New Polynomials and Numbers Associated with Fractional Poisson Probability Distribution

, 2010
Generalizations of Bell polynomials, Bell numbers, and Stirling numbers of the second kind have been introduced and their generating functions were evaluated.Comment: ICNAAM 2010: International Conference of Numerical Analysis and Applied Mathematics ...
Laskin, Nick
core   +1 more source

Probabilistic multi-Stirling numbers of the second kind associated with random variables

Applied Mathematics in Science and Engineering
This paper investigates a probabilistic extension of the multi-Stirling numbers of the second kind and a ‘poly' version of the probabilistic degenerate Lah-Bell polynomials.
Xiangjing Liu, Yuankui Ma, Taekyun Kim, Dae San Kim, Yanan Hei   +4 more
doaj   +1 more source

Degenerate Derangement Polynomials and Numbers

Fractal and Fractional, 2021
In this paper, we consider a new type of degenerate derangement polynomial and number, which shall be called the degenerate derangement polynomials and numbers of the second kind.
Minyoung Ma, Dongkyu Lim
doaj   +1 more source

The Hankel Transform of q-Noncentral Bell Numbers

International Journal of Mathematics and Mathematical Sciences, 2015
We define two forms of q-analogue of noncentral Stirling numbers of the second kind and obtain some properties parallel to those of noncentral Stirling numbers.
Cristina B. Corcino, Roberto B. Corcino, Jay M. Ontolan, Charrymae M. Perez-Fernandez, Ednelyn R. Cantallopez   +4 more
doaj   +1 more source

Three Representations for Set Partitions

IEEE Access, 2021
The Set Partitioning Problem (SPP) aims to obtain non-empty disjoint subsets of objects such that their union equals the whole set of objects, and the partition meets some prespecified criteria.
Jose Torres-Jimenez, Carlos Lara-Alvarez, Alfredo Cardenas-Castillo, Roberto Blanco-Rocha, Oscar Puga-Sanchez   +4 more
doaj   +1 more source