Results 61 to 70 of about 112,843 (166)

Orthogonal Laurent Polynomials of Two Real Variables

Studies in Applied Mathematics, Volume 154, Issue 1, January 2025.
ABSTRACT In this paper, we consider an appropriate ordering of the Laurent monomials xiyj$x^{i}y^{j}$, i,j∈Z$i,j \in \mathbb {Z}$ that allows us to study sequences of orthogonal Laurent polynomials of the real variables x$x$ and y$y$ with respect to a positive Borel measure μ$\mu$ defined on R2$\mathbb {R}^2$ such that ({x=0}∪{y=0})∩supp(μ)=∅$(\lbrace ...
Ruymán Cruz‐Barroso, Lidia Fernández
wiley   +1 more source

Two-Variable q-General-Appell Polynomials Within the Context of the Monomiality Principle

Mathematics
In this study, we consider the two-variable q-general polynomials and derive some properties. By using these polynomials, we introduce and study the theory of two-variable q-general Appell polynomials (2VqgAP) using q-operators.
Noor Alam, Waseem Ahmad Khan, Can Kızılateş, Cheon Seoung Ryoo   +3 more
doaj   +1 more source

MULTIDIMENSIONAL EXTENSIONS OF THE BERNOULLI AND APPELL POLYNOMIALS

Taiwanese Journal of Mathematics, 2004
The present paper deals with the so-called multidimensional extensions of the Bernoulli and Appell polynomials obtained generalizing the corresponding generating functions, and using the Hermite-Kampé de Fériet (or Gould-Hopper) polynomials. Here, by using the classical factorization method for differential equation (usually called the Infeld and Hull ...
Bretti G, Ricci PE
openaire   +6 more sources

Application of (q, τ)‐Bernoulli Interpolation to the Spectral Solution of Quantum Differential Equations

International Journal of Differential Equations, Volume 2025, Issue 1, 2025.
In order to solve fractional differential equations on quantum domains, this work provides a spectral approach based on higher‐order (q, τ)‐Bernoulli functions and polynomials. We build a robust basis for approximation in (q, τ)‐weighted Hilbert spaces by using the orthogonality properties of these extended polynomials and the Sheffer‐type generating ...
Shaher Momani, Rabha W. Ibrahim, Khalil Ezzinbi   +2 more
wiley   +1 more source

A generalization of Phillips operators by using the Appell polynomials of class A ( 2 ) $A^{(2)}$

Journal of Inequalities and Applications
The current paper discusses some important approximation properties of a new modification of the Phillips operators with the help of A ( 2 ) $A^{(2)}$ class Appell polynomials.
Melek Sofyalıoğlu Aksoy
doaj   +1 more source

Exploring the Characteristics of Δ_h Bivariate Appell Polynomials: An In-Depth Investigation and Extension through Fractional Operators

Fractal and Fractional
The objective of this article is to introduce the ∆h bivariate Appell polynomials ∆hAs[r](λ,η;h) and their extended form via fractional operators. The study described in this paper follows the line of study in which the monomiality principle is used to ...
Musawa Yahya Almusawa
doaj   +1 more source

Images for the Y‐Function via Marichev–Saigo–Maeda Fractional Integration and Differentiation Operators

International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
The Y‐function has emerged as a significant tool in generalized fractional calculus due to its ability to unify and extend numerous classical special functions and hypergeometric‐type functions. Applying the Marichev–Saigo–Maeda fractional integration and differentiation operators of any complex order to the Y‐function, this study establishes four ...
Engdasew Birhane, D. L. Suthar, Shikha Binwal   +2 more
wiley   +1 more source

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

The relation of the d-orthogonal polynomials to the Appell polynomials

Journal of Computational and Applied Mathematics, 1996
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Monitoring tides, currents, and waves along coastal habitats using the Mini Buoy

Limnology and Oceanography: Methods, Volume 22, Issue 9, Page 619-633, September 2024.
Abstract Intertidal habitats are shaped by the actions of tides and waves which are difficult to monitor in shallow water. To address this challenge, the “Mini Buoy” and associated open‐source App were recently developed for the low‐cost and long‐term monitoring of tidal inundation and current velocities simultaneously.
Cai J. T. Ladd, Alejandra G. Vovides, Marie‐Christin Wimmler, Christian Schwarz, Thorsten Balke   +4 more
wiley   +1 more source