Results 101 to 110 of about 128,877 (315)
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+3 more
wiley +1 more source
Discrete and Differential Equations in Applied Mathematics
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
We consider two families of type II multiple orthogonal polynomials. Each family has orthogonality conditions with respect to a discrete vector measure.
Jorge Arvesú+1 more
doaj +1 more source
An efficient computation of discrete orthogonal moments for bio-signals reconstruction
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+2 more
doaj +1 more source
Using $\D$-operators to construct orthogonal polynomials satisfying higher order difference or differential equations [PDF]
We introduce the concept of $\D$-operators associated to a sequence of polynomials $(p_n)_n$ and an algebra $\A$ of operators acting in the linear space of polynomials.
Durán, Antonio J.
core
Some discrete d-orthogonal polynomial sets
AbstractIn this paper, we characterize all polynomial sets which are at the same time d-orthogonal and Δω-Appell. The resulting polynomials reduce to Charlier polynomials for (d,ω)=(1,1). Various properties of the obtained polynomials are singled out: generating function, recurrence relation of order d+1 and a difference equation of order d+1.
Ali Zaghouani, Youssèf Ben Cheikh
openaire +2 more sources
Abstract We analyse and clarify the finite‐size scaling of the weakly‐coupled hierarchical n$n$‐component |φ|4$|\varphi |^4$ model for all integers n≥1$n \ge 1$ in all dimensions d≥4$d\ge 4$, for both free and periodic boundary conditions. For d>4$d>4$, we prove that for a volume of size Rd$R^{d}$ with periodic boundary conditions the infinite‐volume ...
Emmanuel Michta+2 more
wiley +1 more source
Uniform Asymptotics for Discrete Orthogonal Polynomials with Respect to Varying Exponential Weights on a Regular Infinite Lattice [PDF]
We consider the large N asymptotics of a system of discrete orthogonal polynomials on an infinite regular lattice of mesh N1/N, with weight e −NV (x) , where V (x) is a real analytic function with sufficient growth at infinity.
P. Bleher, Karl Liechty
semanticscholar +1 more source
Discrete semi-classical orthogonal polynomials: generalized Charlier
AbstractGeneralized Charlier polynomials are introduced as semi-classical orthogonal polynomials of class 1 with one parameter. Main characteristic data are established from the Laguerre–Freud equations generating the coefficients of the recurrence relation satisfied by the polynomials.
Mahouton Norbert Hounkonnou+2 more
openalex +4 more sources
Orthogonal Basic Hypergeometric Laurent Polynomials
The Askey-Wilson polynomials are orthogonal polynomials in$x = cos heta$, which are given as a terminating $_4phi_3$ basic hypergeometric series. The non-symmetric Askey-Wilson polynomials are Laurent polynomials in $z=e^{iheta}$, which are given as a ...
Mourad E.H. Ismail, Dennis Stanton
doaj +1 more source