Results 41 to 50 of about 73,008 (249)

Discrete orthogonal polynomials associated with Macdonald functions

The Ramanujan Journal, 2022
New sequences of discrete orthogonal polynomials associated with the modified Bessel function $K_ (z)$ or Macdonald function are considered. The corresponding weight function is $ ^k _{k+ +1}(t)/ k!$, where $\ k \in \mathbb{N}_0, \ t \ge 0,\ > -1,\ 0 < < 1,\ _ (z) = 2 z^{ /2} K_ \left( 2\sqrt z\right)$.
openaire   +3 more sources

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

Fractal Divergences of Generalized Jacobi Polynomials

Mathematics, 2023
The notion of entropy (including macro state entropy and information entropy) is used, among others, to define the fractal dimension. Rényi entropy constitutes the basis for the generalized correlation dimension of multifractals.
Răzvan-Cornel Sfetcu, Vasile Preda
doaj   +1 more source

Factors Driving Battery and Solar Purchase Decision of Residents: a Behavioural Choice Experiment Using a Hybrid Discrete Choice and Latent Variable Model

Advanced Sustainable Systems, EarlyView.
This article explores what drives households to adopt solar PV and battery systems in South East Queensland. Using hybrid discrete choice experiments, it reveals distinct adopter profiles and highlights cost, system size, and energy independence as key motivators.
Mohammad Alipour, Elnaz Irannezhad, Rodney A. Stewart, Oz Sahin   +3 more
wiley   +1 more source

A Spectral Method Based on Hahn Polynomials for Numerical Solution of Fractional Integro-Differential Equations with Weakly Singular Kernel

پژوهش‌های ریاضی, 2020
Introduction Despite wide applications of constant order fractional derivatives, some systems require the use of derivatives whose order changes with respect to other parameters.
Farideh Salehi, Habibollah Saeedi, Mahmoud Mohseni Moghadam   +2 more
doaj  

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

Quantum state transfer in spin chains with q-deformed interaction terms [PDF]

, 2010
We study the time evolution of a single spin excitation state in certain linear spin chains, as a model for quantum communication. Some years ago it was discovered that when the spin chain data (the nearest neighbour interaction strengths and the ...
Chakrabarti R, E I Jafarov, Golub G H, J Van der Jeugt, Kay A, Koekoek R Swarttouw R F, L'Innocente S, Regniers G   +7 more
core   +3 more sources

Differential equations for discrete Jacobi–Sobolev orthogonal polynomials [PDF]

Journal of Spectral Theory, 2018
The aim of this paper is to study differential properties of orthogonal polynomials with respect to a discrete Jacobi–Sobolev bilinear form with mass point at –
Durán, Antonio J., de la Iglesia, Manuel D.   +1 more
openaire   +2 more sources

In Situ Characterisation of Hydrogels via Dynamic Interface Printing

Advanced Science, EarlyView.
ABSTRACT Hydrogels have become pivotal materials for tissue engineering, robotics, biomedical devices, and sensing applications due to their diverse material compositions and tunable mechanical properties. While significant effort has focused on developing novel manufacturing approaches such as extrusion bioprinting and light‐based fabrication methods,
Callum Vidler, Michael Halwes, David J. Collins   +2 more
wiley   +1 more source

Discrete modified projection methods for Urysohn integral equations with Green’s function type kernels

Mathematical Modelling and Analysis, 2020
In the present paper we consider discrete versions of the modified projection methods for solving a Urysohn integral equation with a kernel of the type of Green’s function.
Rekha P. Kulkarni, Gobinda Rakshit
doaj   +1 more source