Results 81 to 90 of about 133,676 (303)

x-DTT: A package for calculating real and Integer Discrete Tchebichef Transform kernels based on orthogonal polynomials [PDF]

, 2023
Ahcen Aliouat, Nasreddine Kouadria, Doru Florin Chiper   +2 more
openalex   +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 Polar Jacobi Polynomials

Mathematics
In the present work, we investigate certain algebraic and differential properties of the orthogonal polynomials with respect to a discrete–continuous Sobolev-type inner product defined in terms of the Jacobi measure.
Roberto S. Costas-Santos
doaj   +1 more source

Discrete Analogues of the Erdélyi Type Integrals for Hypergeometric Functions

Journal of Mathematics, 2022
Gasper followed the fractional calculus proof of an Erdélyi integral to derive its discrete analogue in the form of a hypergeometric expansion. To give an alternative proof, we derive it by following a procedure analogous to a triple series manipulation ...
Yashoverdhan Vyas, Anand V. Bhatnagar, Kalpana Fatawat, D. L. Suthar, S. D. Purohit   +4 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

Discrete and Differential Equations in Applied Mathematics

Communications, 2008
In the contribution we map investigations performed in mathematics at the Faculty of Science in 2003-2007. Main directions developed at the faculty are described and some of the latest achievements are presented.
Miroslava Ruzickova
doaj   +1 more source

Multiple Meixner Polynomials on a Non-Uniform Lattice

Mathematics, 2020
We consider two families of type II multiple orthogonal polynomials. Each family has orthogonality conditions with respect to a discrete vector measure.
Jorge Arvesú, Andys M. Ramírez-Aberasturis   +1 more
doaj   +1 more source

An efficient computation of discrete orthogonal moments for bio-signals reconstruction

EURASIP Journal on Advances in Signal Processing, 2022
Bio-signals are extensively used in diagnosing many diseases in wearable devices. In signal processing, signal reconstruction is one of the essential applications.
Islam S. Fathi, Mohamed Ali Ahmed, M. A. Makhlouf   +2 more
doaj   +1 more source

Dual -1 Hahn polynomials: "classical" polynomials beyond the Leonard duality [PDF]

, 2011
We introduce the -1 dual Hahn polynomials through an appropriate $q \to -1$ limit of the dual q-Hahn polynomials. These polynomials are orthogonal on a finite set of discrete points on the real axis, but in contrast to the classical orthogonal ...
Tsujimoto, Satoshi, Vinet, Luc, Zhedanov, Alexei   +2 more
core  

Orthogonal polynomials derived from the tridiagonal representation approach

, 2017
The tridiagonal representation approach is an algebraic method for solving second order differential wave equations. Using this approach in the solution of quantum mechanical problems, we encounter two new classes of orthogonal polynomials whose ...
Alhaidari, A. D.
core   +1 more source