Results 41 to 50 of about 747,819 (103)
MathematicsThis paper presents a novel generalization of the mth-order Laguerre and Laguerre-based Appell polynomials and examines their fundamental properties. By establishing quasi-monomiality, we derive key results, including recurrence relations, multiplicative
Waseem Ahmad Khan +4 more
doaj +1 more source
$SO(3)$ quasi-monomial polynomial families
Carpathian Mathematical PublicationsLet $H$ be a subgroup of the affine space group ${\rm Aff} 3)$, considered with its natural action on the vector space of three-variable polynomials. The polynomial family $\{ B_{m,n,k}(x,y,z) \}$ is called quasi-monomial with respect to $H$ if the group operators in two different bases $\{ x^m y^n z^k \}$ and $\{ B_{m,n,k}(x,y,z) \}$ have identical ...
openaire +1 more source
Local Polynomial Regression and Filtering for a Versatile Mesh‐Free PDE Solver
International Journal for Numerical Methods in Fluids, Volume 98, Issue 7, Page 804-839, July 2026.A high‐order, mesh‐free finite difference method for solving differential equations is presented. Both derivative approximation and scheme stabilisation is carried out by parametric or non‐parametric local polynomial regression, making the resulting numerical method accurate, simple and versatile. Numerous numerical benchmark tests are investigated for
Alberto M. Gambaruto
wiley +1 more source
Quasi-monomials with respect to subgroups of the space apace group
, 2023 Нехай — пiдгрупа просторової афiнної групи Aff(3), яка розглядається разом з природною дiєю на дiйсному векторному просторi многочленiв вiд трьох змiнних. Сiм’я многочленiв {,,(, , )} називається квазi-мономiальною вiдносно , якщо груповi оператори в
Самарук, Н. М.
core
On Doitchinov's quietness for arbitrary quasi-uniform spaces [PDF]
, 2010 The notion of a quiet quasi-uniform space was introduced by Doitchinov in1988 when he developed an interesting completion theory for this class ofquasi-uniform spaces.
Kivuvu, Charly Makitu
core +1 more source
String topology via the coHochschild complex and local intersections
Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.Abstract We construct an algebraic model for the Chas–Sullivan product and the Goresky–Hingston coproduct in string topology. The construction takes as its initial input a simplicial complex equipped with a local pairing on its simplicial chains, for instance, a homology manifold with its local intersection pairing.
Manuel Rivera, Alex Takeda
wiley +1 more source
Two-Variable q-General-Appell Polynomials Within the Context of the Monomiality Principle
MathematicsIn 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 +3 more
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Nonlinear Model Order Reduction on Polynomial Manifolds for Computational Homogenisation Problems
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.ABSTRACT Model order reduction (MOR) techniques utilising nonlinear approximation spaces can search for solutions to computational homogenisation problems on low‐dimensional approximation spaces. In combination with hyperreduction techniques, this allows for computations on representative volume elements (RVEs) to be accelerated by multiple orders of ...
Erik Faust, Lisa Scheunemann
wiley +1 more source
Journal of Inequalities and ApplicationsThis study presents an extensive generalization of Legendre–Laguerre polynomials along with their Appell-type counterparts. Using the quasi-monomiality approach, we establish core analytical features, including recurrence relations, associated ...
Waseem Ahmad Khan +4 more
doaj +1 more source
A Study of the q-Truncated Exponential–Appell Polynomials
MathematicsThis 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 +2 more
doaj +1 more source