Results 21 to 30 of about 92 (89)
Classes of hypercomplex polynomials of discrete variable based on the quasi-monomiality principle [PDF]
Applied Mathematics and Computation, 2014 24 pages. 1 figure.
openaire +3 more sources
Two-iterated degenerate Appell polynomials: properties and applications
Arab Journal of Basic and Applied SciencesIn the development of hybrid special polynomials, it is essential to incorporate the monomiality principle, operational rules, and other related properties.
Shahid Ahmad Wani
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On monomiality property of q-Gould-Hopper-Appell polynomials
Arab Journal of Basic and Applied SciencesRecently, in the theory of q-special functions, the extension of the monomiality concept to q-special polynomials is introduced. This extension can be a beneficial tool for considering the quasi-monomiality of certain q-special polynomials.
Nusrat Raza, Mohammed Fadel, Subuhi Khan
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Two-Variable q-Hermite-Based Appell Polynomials and Their Applications
MathematicsA 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 +2 more
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Self‐Similar Blowup for the Cubic Schrödinger Equation
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We give a rigorous proof for the existence of a finite‐energy, self‐similar solution to the focusing cubic Schrödinger equation in three spatial dimensions. The proof is computer‐assisted and relies on a fixed point argument that shows the existence of a solution in the vicinity of a numerically constructed approximation.
Roland Donninger, Birgit Schörkhuber
wiley +1 more source
Deep Underground Science and Engineering, EarlyView.Aluminum‐enhanced afterburning renders AE explosives more hazardous than conventional ones. Corrugated steel linings reduce far‐field AE blast overpressure by ~50% through wave reflection and dissipation. The developed model accurately predicts peak pressure (<10% error) and arrival time (<3% error), supporting protective design.
Zhen Wang +5 more
wiley +1 more source
Local Polynomial Regression and Filtering for a Versatile Mesh‐Free PDE Solver
International Journal for Numerical Methods in Fluids, EarlyView.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
Measure‐valued processes for energy markets
Mathematical Finance, Volume 35, Issue 2, Page 520-566, April 2025.Abstract We introduce a framework that allows to employ (non‐negative) measure‐valued processes for energy market modeling, in particular for electricity and gas futures. Interpreting the process' spatial structure as time to maturity, we show how the Heath–Jarrow–Morton approach can be translated to this framework, thus guaranteeing arbitrage free ...
Christa Cuchiero +3 more
wiley +1 more source
Investigating the Properties and Dynamic Applications of Δh Legendre–Appell Polynomials
MathematicsThis research aims to introduce and examine a new type of polynomial called the Δh Legendre–Appell polynomials. We use the monomiality principle and operational rules to define the Δh Legendre–Appell polynomials and explore their properties.
Noor Alam +3 more
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Mathematika, Volume 72, Issue 2, April 2026.Abstract In this paper, we study traces of Hecke operators on Drinfeld modular forms of level 1 in the case A=Fq[T]$A = \mathbb {F}_q[T]$. We deduce closed‐form expressions for traces of Hecke operators corresponding to primes of degree at most 2 and provide algorithms for primes of higher degree.
Sjoerd de Vries
wiley +1 more source