Results 41 to 50 of about 1,345 (195)

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

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

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

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

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

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

Bell Numbers and Stirling Numbers of the Mycielskian of Trees

CoRR
14 pages, 3 tables, 0 ...
J. Allagan, G. Morgan, D. Sinclair
openaire   +2 more sources

Living Through a Changing Climate: Stress, Trauma, and Gendered Resilience Among Women in Coastal and Northern Ghana

Sustainable Development, EarlyView.
ABSTRACT Climate change is reshaping everyday life in Ghana through coastal erosion, flooding, erratic rainfall, water scarcity, extreme heat, and agricultural insecurity. This study examines how these changes produce stress, trauma, and gendered resilience among women in Salakope and Choggu Yapalsi, two climate‐vulnerable communities in coastal and ...
Jacob Kwakye
wiley   +1 more source

q-analogs of the generalized Stirling and Bell numbers

Journal of Physics: Conference Series, 2008
Generalized Stirling numbers appear in a natural way as the coefficients of the normal ordering of a word in the Heisenberg-Weyl algebra of bosonic creation and annihilation operators. We introduce a new combinatorial model for the study of the q-analogs of the generalized Stirling numbers.
M Méndez, A Rodriguez
openaire   +1 more source