Results 51 to 60 of about 1,781 (102)

A $q$-Umbral Approach to $q$-Appell Polynomials

, 2015
In this paper we aim to specify some characteristics of the so called family of $q$-Appell Polynomials by using $q$-Umbral calculus. Next in our study, we focus on $q$-Genocchi numbers and polynomials as a famous member of this family. To do this, firstly we show that any arbitrary polynomial can be written based on a linear combination of $q$-Genocchi
Keleshteri, Marzieh Eini, Mahmudov, Nazim I.   +1 more
openaire   +2 more sources

Spatially explicit predictions using spatial eigenvector maps

Methods in Ecology and Evolution, Volume 15, Issue 11, Page 2129-2140, November 2024.
Abstract In this paper, we explain how to obtain sets of descriptors of the spatial variation, which we call “predictive Moran's eigenvector maps” (pMEM), that can be used to make spatially explicit predictions for any environmental variables, biotic or abiotic. It unites features of a method called “Moran's eigenvector maps” (MEM) and those of spatial
Guillaume Guénard, Pierre Legendre
wiley   +1 more source

A Study of the q-Truncated Exponential–Appell Polynomials

Mathematics
This article introduces the 2-variable q-truncated exponential–Appell (q-trunc. exp. Appell) polynomials and investigates their fundamental properties. Specific results are derived for the q-trunc. exp.
Francesco Aldo Costabile, Subuhi Khan, Hassan Ali   +2 more
doaj   +1 more source

On hypergeometric Bernoulli numbers and polynomials [PDF]

, 2015
In this note, we shall provide several properties of hypergeometric Bernoulli numbers and polynomials, including sums of products identity, differential equations and recurrence formulas.Comment: 12 ...
Hu, Su, Kim, Min-Soo
core  

An alternative approach to averaging in nonlinear systems using classical probability density

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 104, Issue 6, June 2024.
Abstract The averaging method is a widely used technique in the field of nonlinear differential equations for effectively reducing systems with “fast” oscillations overlaying “slow” drift. The method involves calculating an integral, which can be straightforward in some cases but can also require simplifications such as series expansions. We propose an
Attila Genda, Alexander Fidlin, Oleg Gendelman   +2 more
wiley   +1 more source

Rational solutions of the fifth Painlevé equation. Generalized Laguerre polynomials

Studies in Applied Mathematics, Volume 152, Issue 1, Page 453-507, January 2024.
Abstract In this paper, rational solutions of the fifth Painlevé equation are discussed. There are two classes of rational solutions of the fifth Painlevé equation, one expressed in terms of the generalized Laguerre polynomials, which are the main subject of this paper, and the other in terms of the generalized Umemura polynomials. Both the generalized
Peter A. Clarkson, Clare Dunning
wiley   +1 more source

Two-Variable q-Hermite-Based Appell Polynomials and Their Applications

Mathematics
A noteworthy advancement within the discipline of q-special function analysis involves the extension of the concept of the monomiality principle to q-special polynomials.
Mohammed Fadel, Maryam Salem Alatawi, Waseem Ahmad Khan   +2 more
doaj   +1 more source

A Remark on Wick Ordering of Random Variables [PDF]

, 2013
This paper is a small note on the notation $\,:\! q(X)\!:\,$, for the Wick ordering of polynomials $q$ of random variables $X = (X_1,\dotsc,X_n)$, as introduced by Segal in [6]. We argue that expressing $q(X)$ as another polynomial $p$ of a different set
Møller, Jacob Schach
core  

Scaling transition for nonlinear random fields with long-range dependence

, 2016
We obtain a complete description of anisotropic scaling limits and the existence of scaling transition for nonlinear functions (Appell polynomials) of stationary linear random fields on $\mathbb{Z}^2$ with moving average coefficients decaying at possibly
Pilipauskaitė, Vytautė, Surgailis, Donatas   +1 more
core   +1 more source

Symbolic Methods Applied to a Class of Identities Involving Appell Polynomials and Stirling Numbers

Mathematics
In this paper, we present two symbolic methods, in particular, the method starting from the source identity, umbra identity, for constructing identities of s-Appell polynomials related to Stirling numbers and binomial coefficients.
Tian-Xiao He, Emanuele Munarini
doaj   +1 more source