Results 51 to 60 of about 30,409 (195)

A note on degenerate derangement polynomials and numbers

AIMS Mathematics, 2021
In this paper, we study the degenerate derangement polynomials and numbers, investigate some properties of those polynomials and numbers and explore their connections with the degenerate gamma distributions.
Taekyun Kim, Dae San Kim , Hyunseok Lee , Lee-Chae Jang   +3 more
doaj   +1 more source

Generalized Bell Numbers and Peirce Matrix via Pascal Matrix

International Journal of Mathematics and Mathematical Sciences, 2018
With the Stirling matrix S and the Pascal matrix T, we show that TkS (k≥0) satisfies a type of generalized Stirling recurrence. Then, by expressing the sum of components of each row of TkS as k-Bell number, we investigate properties of k-Bell numbers as ...
Eunmi Choi
doaj   +1 more source

A new family of Apostol–Genocchi polynomials associated with their certain identities

Applied Mathematics in Science and Engineering, 2023
In this paper, we provide a generating function for mix type Apostol–Genocchi polynomials of order η associated with Bell polynomials. We also derive certain important identities of Apostol Genocchi polynomials of order η based on Bell polynomials, such ...
Nabiullah Khan, Saddam Husain, Talha Usman, Serkan Araci   +3 more
doaj   +1 more source

On Polynomials <i>R<sub>n</sub></i>(x) Related to the Stirling Numbers and the Bell Polynomials Associated with the <i>p</i>-Adic Integral on <img src="http://latex.codecogs.com/gif.latex?\mathbb{Z}_{p}" title="\mathbb{Z}_{p}" />

Open Journal of Discrete Mathematics, 2016
Hui Young Lee, C. S. Ryoo
openalex   +3 more sources

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

Diagonal recurrence relations for the Stirling numbers of the first kind [PDF]

, 2015
In the paper, the author presents diagonal recurrence relations for the Stirling numbers of the first kind. As by-products, the author also recovers three explicit formulas for special values of the Bell polynomials of the second kind.Comment: 7 ...
Qi, Feng
core   +3 more sources

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

Polynomials Related to Harmonic Numbers and Evaluation of Harmonic Number Series I [PDF]

, 2010
In this paper we focus on two new families of polynomials which are connected with exponential polynomials and geometric polynomials. We discuss their generalizations and show that these new families of polynomials and their generalizations are useful to
Dil, Ayhan, Kurt, Veli
core   +2 more sources

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 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