Results 61 to 70 of about 58,842 (311)

On the functional equation for classical orthogonal polynomials on lattices [PDF]

Journal of Mathematical Analysis and Applications, 2021
K. Castillo, D. Mbouna, J. Petronilho
semanticscholar   +1 more source

Perturbations around the zeros of classical orthogonal polynomials [PDF]

, 2014
Starting from degree N solutions of a time dependent Schrodinger-like equation for classical orthogonal polynomials, a linear matrix equation describing perturbations around the N zeros of the polynomial is derived.
R. Sasaki
semanticscholar   +1 more source

Classical orthogonal polynomials: dependence of parameters

Journal of Computational and Applied Mathematics, 2000
The authors study connection problems between classical orthogonal polynomials and their derivatives with respect to (one of) their parameter(s). They use their so-called \texttt{Navima} algorithm to derive recurrence relations for the connection coefficients linking a family of classical orthogonal polynomials (like the Laguerre and Jacobi polynomials)
Ronveaux, André, Zarzo, A., Area, I., Godoy, E.   +3 more
openaire   +2 more sources

Comparison of DeePMD, MTP, GAP, ACE and MACE Machine‐Learned Potentials for Radiation‐Damage Simulations: A User Perspective

Advanced Intelligent Discovery, EarlyView.
The authors evaluated six machine‐learned interatomic potentials for simulating threshold displacement energies and tritium diffusion in LiAlO2 essential for tritium production. Trained on the same density functional theory data and benchmarked against traditional models for accuracy, stability, displacement energies, and cost, Moment Tensor Potential ...
Ankit Roy, Ram Devanathan, Sarah Allec, Giridhar Nandipati, Andrew M. Casella, David J. Senor, Duane D. Johnson, Ganesh Balasubramanian, Ayoub Soulami   +8 more
wiley   +1 more source

On Non-linear Characterizations of Classical Orthogonal Polynomials [PDF]

, 2022
P. Njionou Sadjang, D. Kalda Sawalda, S. Mboutngam, M. Foupouagnigni, W. Koepf   +4 more
openalex   +1 more source

Three-fold symmetric Hahn-classical multiple orthogonal polynomials [PDF]

Analysis and Applications, 2018
We characterize all the multiple orthogonal three-fold symmetric polynomial sequences whose sequence of derivatives is also multiple orthogonal. Such a property is commonly called the Hahn property and it is an extension of the concept of classical ...
A. Loureiro, W. Assche
semanticscholar   +1 more source

Interpretability and Representability of Commutative Algebra, Algebraic Topology, and Topological Spectral Theory for Real‐World Data

Advanced Intelligent Discovery, EarlyView.
This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
wiley   +1 more source

On classical orthogonal polynomials and the Cholesky factorization of a class of Hankel matrices

Bulletin of Mathematical Sciences
Classical moment functionals (Hermite, Laguerre, Jacobi, Bessel) can be characterized as those linear functionals whose moments satisfy a second-order linear recurrence relation.
Misael E. Marriaga, Guillermo Vera de Salas, Marta Latorre, Rubén Muñoz Alcázar   +3 more
doaj   +1 more source

Design, Control, and Clinical Applications of Magnetic Actuation Systems: Challenges and Opportunities

Advanced Intelligent Systems, Volume 7, Issue 3, March 2025.
This review aims to provide a broad understanding for interdisciplinary researchers in engineering and clinical applications. It addresses the development and control of magnetic actuation systems (MASs) in clinical surgeries and their revolutionary effects in multiple clinical applications.
Yingxin Huo, Lidong Yang, Tiantian Xu, Dong Sun   +3 more
wiley   +1 more source

Zero distribution of sequences of classical orthogonal polynomials

Abstract and Applied Analysis, 2003
We obtain the zero distribution of sequences of classical orthogonal polynomials associated with Jacobi, Laguerre, and Hermite weights. We show that the limit measure is the extremal measure associated with the corresponding weight.
Plamen Simeonov
doaj   +1 more source