Results 41 to 50 of about 79,087 (306)

Expressing Sums of Finite Products of Chebyshev Polynomials of the Second Kind and of Fibonacci Polynomials by Several Orthogonal Polynomials

Mathematics, 2018
This paper is concerned with representing sums of the finite products of Chebyshev polynomials of the second kind and of Fibonacci polynomials in terms of several classical orthogonal polynomials.
Taekyun Kim, Dae San Kim, Jongkyum Kwon, Dmitry V. Dolgy   +3 more
doaj   +1 more source

On Some Relations between the Hermite Polynomials and Some Well-Known Classical Polynomials and the Hypergeometric Function.

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

Equilibria of `Discrete' Integrable Systems and Deformations of Classical Orthogonal Polynomials

, 2004
The Ruijsenaars-Schneider systems are `discrete' version of the Calogero-Moser (C-M) systems in the sense that the momentum operator p appears in the Hamiltonians as a polynomial in e^{\pm\beta' p} (\beta' is a deformation parameter) instead of an ...
Andrews G E, Awata H, Bordner A J, Calogero F, Calogero F, Calogero F, Calogero F, Chihara T S, Corrigan E, Jing S Yang W, Khastgir S P, Koekoek R Swarttouw R F, M Ruijsenaars S N, Macdonald I G, Mimachi K, Moser J, Moser J, Odake S, R Sasaki, Ragnisco O, S Odake, Sasaki R, Shiraishi J, Stanley R P, Sutherland B, Szegö G, van Diejen J F, van Diejen J F, van Diejen J F, van Diejen J F   +29 more
core   +3 more sources

Colossal Cryogenic Electro‐Optic Response Through Metastability in Strained BaTiO3 Thin Films

Advanced Materials, EarlyView.
Utilizing the thermodynamic theory of optical properties, a colossal cryogenic electro‐optic response in BaTiO3 thin films is designed and demonstrated by stabilizing a low symmetry metastable monoclinic phase via epitaxial strain tuning with an electro‐optic response reaching ≈2516 pm V−1 at 5 K. This approach represents a new paradigm for engineering
Albert Suceava, Sankalpa Hazra, Aiden Ross, Ian Reed Philippi, Dylan Sotir, Brynn Brower, Lei Ding, Yingxin Zhu, Zhiyu Zhang, Himirkanti Sarkar, Saugata Sarker, Yang Yang, Suchismita Sarker, Vladimir A. Stoica, Darrell G. Schlom, Long‐Qing Chen, Venkatraman Gopalan   +16 more
wiley   +1 more source

Robust Stabilization of Interval Plants with Uncertain Time-Delay Using the Value Set Concept

Mathematics, 2021
This paper considers the robust stabilization problem for interval plants with parametric uncertainty and uncertain time-delay based on the value set characterization of closed-loop control systems and the zero exclusion principle.
Pedro Zamora, Alejandro Arceo, Noé Martínez, Gerardo Romero, Luis E. Garza   +4 more
doaj   +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, Zixuan Zhang, Bingyan Li, Junkai Wang, Hongcheng Gu   +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

New fractional-order shifted Gegenbauer moments for image analysis and recognition

Journal of Advanced Research, 2020
Orthogonal moments are used to represent digital images with minimum redundancy. Orthogonal moments with fractional-orders show better capabilities in digital image analysis than integer-order moments.
Khalid M. Hosny, Mohamed M. Darwish, Mohamed Meselhy Eltoukhy   +2 more
doaj   +1 more source

On Spectral Vectorial Differential Equation of Generalized Hermite Polynomials

Axioms, 2022
In this paper, we first give some results on monic generalized Hermite polynomials (GHP) {Hn(μ)(x)}n≥0, orthogonal with respect to the positive weight |x|2μe−x2,μ>−12,x∈R, which will lead to the formulation of the second-order spectralvectorial ...
Mohamed Jalel Atia, Majed Benabdallah
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, A. F. Nikiforov, A. Mingarelli, A. N. Sergeev, B. L. Feigin, D. A. Leites, I. G. Macdonald, J. Dixmier, J. Dixmier, L. Littlejohn, M. Vasiliev, N. Ja. Vilenkin, S. Leng, S. Montgomery, V. Derkach, V. Kac   +15 more
core   +1 more source