Results 61 to 70 of about 132,731 (333)
The orthogonal polynomials generated by [ceteris omissis] [PDF]
Rendiconti di Matematica e delle Sue Applicazioni, 1995 Starting from the generating function, a differential-recurrence relation is derived, which is then combined with the three-term pure recurrence formula (a necessary and sufficient condition for orthogonal polynomials) to obtain a differential ...
A.L.W. VON BACHHAUS
doaj
مجلة العلوم البحتة والتطبيقية, 2020 The connection between different classes of special functions is a very important aspect in establishing new properties of the related classical functions that is they can inherit the properties of each other. Here we show how the Hermite polynomials are
Haniyah Saed Ben Hamdin
doaj +1 more source
AIMS Mathematics, 2023 In this study, we develop various features in special polynomials using the principle of monomiality, operational formalism, and other qualities. By utilizing the monomiality principle, new outcomes can be achieved while staying consistent with past ...
Mohra Zayed, Shahid Wani
doaj +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
Non‐Hermitian Topological Lattice Photonics: An Analytic Perspective
Advanced Photonics Research, EarlyView.This review establishes exact analytical solutions for non‐Hermitian Hatano–Nelson, Su–Schrieffer–Heeger, and generalized Rice–Mele models. We demonstrate non‐Hermitian skin effects via point‐gap topology, hybrid skin‐topological edge states in 2D lattices, and spin‐polarized boundary modes governed by dual bulk‐boundary correspondence.
Shihua Chen +6 more
wiley +1 more source
A NEW CHARACTERIZATION OF 𝑞-CHEBYSHEV POLYNOMIALS OF THE SECOND KIND
Проблемы анализаIn this work, we introduce the notion of $\cal{U}_{(q, \mu)}$-classical orthogonal polynomials, where $\cal{U}_{(q, \mu)}$ is the degree raising shift operator defined by $\cal{U}_{(q, \mu)}$ $:= x(xH_q + q^{-1}I_{\cal{P}}) + \mu H_q$, where $\mu$ is a
S. Jbeli
doaj +1 more source
Orthogonal polynomials of discrete variable and Lie algebras of complex size matrices
, 2005 We give a uniform interpretation of the classical continuous Chebyshev's and Hahn's orthogonal polynomials of discrete variable in terms of Feigin's Lie algebra gl(N), where N is any complex number.
A. F. Nikiforov +15 more
core +1 more source
Hard‐Magnetic Soft Millirobots in Underactuated Systems
Advanced Robotics Research, EarlyView.This review provides a comprehensive overview of hard‐magnetic soft millirobots in underactuated systems. It examines key advances in structural design, physics‐informed modeling, and control strategies, while highlighting the interplay among these domains.
Qiong Wang +4 more
wiley +1 more source
Some New Connection Relations Related to Classical Orthogonal Polynomials
Journal of Mathematics, 2020 In this paper, we deal with a problem of positivity of linear functionals in the linear space ℙ of polynomials in one variable with complex coefficients.
Wathek Chammam, Wasim Ul-Haq
doaj +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