Results 31 to 40 of about 30,307 (185)

Dobiński relations and ordering of boson operators [PDF]

, 2006
We introduce a generalization of the Dobiński relation, through which we define a family of Bell-type numbers and polynomials. Such generalized Dobiński relations are coherent state matrix elements of expressions involving boson ladder operators.
A. Gawron, A. Horzela, A. I. Solomon, A.I. Solomon, A.M. Navon, G. Dattoli, G. Dobiński, H.S. Wilf, J. Katriel, J. Katriel, J. Katriel, J.R. Klauder, K. A. Penson, K.A. Penson, L. Comtet, N. Fleury, P. Blasiak, P. Blasiak, P. Blasiak, P. Blasiak, P. Blasiak, W.H. Louisell   +21 more
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

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

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

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

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

Rethinking the Normative Foundations of the Stakeholder Theory Through the Civil Economy Approach: Insights From a Relationality‐Based Anthropological Perspective

Business Ethics, the Environment &Responsibility, EarlyView.
ABSTRACT A growing enthusiasm to reconsider the normative foundations of the stakeholder theory is spreading in related literature. Current research mainly focuses on religious, spiritual, and philosophical underpinnings to reexamine these foundations.
Roberta Sferrazzo, Giorgia Nigri, Renato Ruffini   +2 more
wiley   +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