Representations of Monomiality Principle with Sheffer-type Polynomials and Boson Normal Ordering [PDF]
, 2005 We construct explicit representations of the Heisenberg-Weyl algebra [P,M]=1 in terms of ladder operators acting in the space of Sheffer-type polynomials. Thus we establish a link between the monomiality principle and the umbral calculus.
Blasiak, P +3 more
core +2 more sources
Appell polynomials and their relatives [PDF]
, 2004 This paper summarizes some known results about Appell polynomials and investigates their various analogs. The primary of these are the free Appell polynomials.
Anshelevich, Michael
core +4 more sources
Laguerre-type derivatives: Dobinski relations and combinatorial identities [PDF]
, 2009 We consider properties of the operators D(r,M)=a^r(a^\dag a)^M (which we call generalized Laguerre-type derivatives), with r=1,2,..., M=0,1,..., where a and a^\dag are boson annihilation and creation operators respectively, satisfying [a,a^\dag]=1.
A. Horzela +9 more
core +3 more sources
Product of Sheffer sequences: properties and examples
Tbilisi Mathematical Journal, 2019 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Riyasat, Mumtaz +2 more
openaire +2 more sources
Population Dynamics and Community Composition of Ammonia Oxidizers in Salt Marshes after the Deepwater Horizon Oil Spill [PDF]
, 2016 The recent oil spill in the Gulf of Mexico had significant effects on microbial communities in the Gulf, but impacts on nitrifying communities in adjacent salt marshes have not been investigated.
Bernhard, Anne E +4 more
core +2 more sources
On multivariable cumulant polynomial sequences with applications
, 2016 A new family of polynomials, called cumulant polynomial sequence, and its extensions to the multivariate case is introduced relied on a purely symbolic combinatorial method.
Di Nardo, E.
core +1 more source
Special Numbers and Polynomials Including Their Generating Functions in Umbral Analysis Methods
Axioms, 2018 In this paper, by applying umbral calculus methods to generating functions for the combinatorial numbers and the Apostol type polynomials and numbers of order k, we derive some identities and relations including the combinatorial numbers, the Apostol ...
Yilmaz Simsek
doaj +1 more source
An Introduction to Finite Fibonomial Calculus
, 2004 This is an indicatory presentation of main definitions and theorems of fibonomial calculus which is a special case of psi-extented rota's finite operator calculus.Comment: 16 ...
Krot, Ewa
core +1 more source
On the Manifold Meanings of Aesthetic Experience: Lonergan and Chrétien on Art
The Heythrop Journal, Volume 67, Issue 1, Page 33-52, January 2026.Abstract I argue that Jean‐Louis Chrétien’s account of beauty and Bernard Lonergan’s account of art and aesthetic experience complement one another and, when taken together, offer an illuminating philosophical account of the ontological, ethical, intellectual, and transcendent aspects of art and aesthetic experience.
Gregory P. Floyd
wiley +1 more source
On a symbolic representation of non-central Wishart random matrices with applications
, 2014 By using a symbolic method, known in the literature as the classical umbral calculus, the trace of a non-central Wishart random matrix is represented as the convolution of the trace of its central component and of a formal variable involving traces of ...
Di Nardo, Elvira
core +1 more source