Results 101 to 110 of about 30,409 (195)

Combinatorial Physics, Normal Order and Model Feynman Graphs

, 2003
The general normal ordering problem for boson strings is a combinatorial problem. In this note we restrict ourselves to single-mode boson monomials.
Blasiak, P., Duchamp, G., Horzela, A., Penson, K. A., Solomon, A. I.   +4 more
core   +1 more source

Exponential Polynomials, Stirling Numbers, and Evaluation of Some Gamma Integrals

Abstract and Applied Analysis, 2009
This article is a short elementary review of the exponential polynomials (also called single-variable Bell polynomials) from the point of view of analysis. Some new properties are included, and several analysis-related applications are mentioned.
Khristo N. Boyadzhiev
doaj   +1 more source

Exploring probabilistic Bernstein polynomials: identities and applications

Applied Mathematics in Science and Engineering
In this paper, we introduce the probabilistic Bernstein polynomials and derive new and interesting correlations among several special functions and special number sequences such as Euler polynomials, Bernoulli polynomials of higher order, Frobenius–Euler
Ayse Karagenc, Mehmet Acikgoz, Serkan Araci   +2 more
doaj   +1 more source

BELL PERMUTATIONS AND STIRLING NUMBERS INTERPOLATION

, 1999
A family of number sequences which interpolates the sequences of Bell numbers and n!
PERGOLA, ELISA, PINZANI, RENZO, G. LABELLE, P. LEROUX   +3 more
openaire   +1 more source

A new family of q-Bernstein polynomials: probabilistic viewpoint

Arab Journal of Basic and Applied Sciences
In this paper, we introduce a new class of polynomials, called probabilistic q-Bernstein polynomials, alongside their generating function. Assuming [Formula: see text] is a random variable satisfying moment conditions, we use the generating function of ...
Ayse Karagenc, Mehmet Acikgoz, Serkan Araci   +2 more
doaj   +1 more source

Series and Connections Among Central Factorial Numbers, Stirling Numbers, Inverse of Vandermonde Matrix, and Normalized Remainders of Maclaurin Series Expansions ^†

Mathematics
This paper presents an extensive investigation into several interrelated topics in mathematical analysis and number theory. The author revisits and builds upon known results regarding the Maclaurin power series expansions for a variety of functions and ...
Feng Qi
doaj   +1 more source

The ordered Bell numbers as weighted sums of odd or even Stirling numbers of the second kind [PDF]

, 2021
Jacob Sprittulla
openalex   +1 more source

Zeros distribution and interlacing property for certain polynomial sequences

Open Mathematics
In this article, we first prove that the Hankel determinant of order three of the polynomial sequence {Pn(x)=∑k≥0P(n,k)xk}n≥0{\left\{{P}_{n}\left(x)={\sum }_{k\ge 0}P\left(n,k){x}^{k}\right\}}_{n\ge 0} is weakly (Hurwitz) stable, where P(n,k)P\left(n,k ...
Guo Wan-Ming
doaj   +1 more source

Making community pharmacies psychologically informed environments (PIE): a feasibility study to improve engagement with people using drug services in Scotland. [PDF]

Prim Health Care Res Dev, 2023
Matheson C, Hunter C, Schofield J, O'Sullivan K, Hunter J, Munro A, Parkes T.   +6 more
europepmc   +1 more source

An explicit formula for computing Bell numbers in terms of Lah and Stirling numbers

, 2014
3 ...
openaire   +2 more sources