Results 31 to 40 of about 117,000 (133)
Fractal and Fractional, 2023 This paper introduces a new type of polynomials generated through the convolution of generalized multivariable Hermite polynomials and Appell polynomials.
Mohra Zayed +2 more
doaj +1 more source
Mixed-Type Hypergeometric Bernoulli–Gegenbauer Polynomials
Mathematics, 2023 In this paper, we consider a novel family of the mixed-type hypergeometric Bernoulli–Gegenbauer polynomials. This family represents a fascinating fusion between two distinct categories of special functions: hypergeometric Bernoulli polynomials and ...
Dionisio Peralta +2 more
doaj +1 more source
On the Reducibility of Weighted Composition Operators Generated by Periodic Transformations
International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.In this article, we study the reducibility of weighted composition operators (also known as weighted displacement operators) acting on Banach spaces of continuous functions on a compact topological space X. We consider operators of the form Bu(x) = a(x)u(α(x)), where α : X⟶X is a continuous mapping and a is a continuous function.
Teube Cyrille Mbainaissem +3 more
wiley +1 more source
Hahn's generalized problem and corresponding Appell sequences [PDF]
, 2008 This thesis is devoted to some aspects of the theory of orthogonal polynomials, paying a special attention to the classical ones (Hermite, Laguerre, Bessel and Jacobi).
Loureiro, Ana F.
core
Approximation of Multiple Stancu‐Type Bernstein Operators
Journal of Function Spaces, Volume 2026, Issue 1, 2026.In this paper, we introduce a new class of multiple Stancu‐type Bernstein operators defined via Beta function based integral modification. We study their approximation properties and establish uniform convergence by means of Korovkin′s theorem under suitable conditions on the parameter αη.
Mehmet Ali Özarslan +3 more
wiley +1 more source
On Appell-Laguerre polynomials
, 1993 In this note we give a digest study of Appell-Laguerre polynomials, we provide a recurrence relation and a second-order differential equation satisfied by these polynomials.
Belmehdi, S.
core +1 more source
Integral Modification of Lupaş‐Type Operators for Improved Approximation and Reduced Bias
Journal of Function Spaces, Volume 2026, Issue 1, 2026.In this paper, we introduce a generalized class of Lupaş‐type operators constructed through an integral modification of the classical formulation. Instead of using discrete point evaluations, the proposed operators are defined by means of weighted local integral averages together with a parameter‐dependent structure.
Nadiyah Hussain Alharthi +3 more
wiley +1 more source
Some Identities of the Probabilistic Changhee Polynomials and Their Applications
Journal of Mathematics, Volume 2026, Issue 1, 2026.Special numbers and polynomials are very important tools in diverse fields such as mathematics, physics, engineering, science, and related disciplines, addressing problems in areas like mathematical physics, numerical analysis, differential equations, fluid dynamics, and quantum mechanics.
Jin-Woo Park +4 more
wiley +1 more source
On a New Family of Szász‐Type Operators Associated With U‐Charlier–Poisson Polynomials
Journal of Mathematics, Volume 2026, Issue 1, 2026.This paper investigates an operator constructed with Charlier–Poisson polynomials and analyzes its approximation behavior. We establish results on the convergence of the operator and study its rate of approximation by employing the modulus of continuity.
Nisanur Sezer +3 more
wiley +1 more source
Controllability and Modeling Perspectives of Tempered Ψ‐Caputo Fractional Systems
Journal of Mathematics, Volume 2026, Issue 1, 2026.In this article, we investigated the controllability of fractional dynamical systems (FDS) involving the tempered Ψ‐Caputo fractional derivative (FD). First, we derived the solution representation for this generalized FD with the help of Laplace transform and Mittag–Leffler (M‐L) function.
Inzamamul Haque +3 more
wiley +1 more source