Results 71 to 80 of about 972,343 (359)

Raising and lowering operators and their factorization for generalized orthogonal polynomials of hypergeometric type on homogeneous and non-homogeneous lattice

, 2004
We complete the construction of raising and lowering operators, given in a previous work, for the orthogonal polynomials of hypergeometric type on non-homogeneous lattice, and extend these operators to the generalized orthogonal polynomials, namely ...
Alvarez-Nodarse R, Alvarez-Nodarse R, Atakishiyev N M, Atakishiyev N M, Lorente M, Lorente M, Lorente M, Lorente M, Miguel Lorente, Nikiforov A F, Nikiforov A F, Nikiforov A F, Nikiforov A F, Nikiforov A F, Nikiforov A F, Nikiforov A F, Nikiforov A F, Nikiforov A F, Nikiforov A F, Nikiforov A F, Nikiforov A F, Rahman Mizan, Smirnov Y F, Smirnov Y F, Smirnov Y F   +24 more
core   +1 more source

Direct Ink Writing of Carbon‐Based Electrofluids for Soft Electrical Component Manufacturing

Advanced Materials Technologies, EarlyView.
This work explores the manufacturing of Electrofluids (EFs), conductive particle suspensions that flow while maintaining conductivity, for soft electrical components. Using Direct Ink Writing (DIW), patterned EFs achieve enhanced performance, including a 800% sensitivity boost in strain gauges. Through rheological studies, a printability map is created
Niclas Hautz, Lola González‐García
wiley   +1 more source

Orthogonal Polynomials of Several Variables: Preface to the Second Edition

, 2014
Preface to the second edition Preface to the first edition 1. Background 2. Orthogonal polynomials in two variables 3. General properties of orthogonal polynomials in several variables 4. Orthogonal polynomials on the unit sphere 5.
C. Dunkl, Yuan Xu
semanticscholar   +1 more source

Multivariate Krawtchouk polynomials and composition birth and death processes

, 2016
This paper defines the multivariate Krawtchouk polynomials, orthogonal on the multinomial distribution, and summarizes their properties as a review. The multivariate Krawtchouk polynomials are symmetric functions of orthogonal sets of functions defined ...
Griffiths, Robert
core   +2 more sources

Facile Fabrication of Large‐Area Biofunctionalized Metallic Nanostructures for High Performance Affinity Plasmonic Biosensors

Advanced Materials Technologies, EarlyView.
A novel approach enables facile and reproducible fabrication of gold nanoparticle arrays with tunable near‐infrared plasmonic properties and enhanced sensing accuracy. Using advanced lithography and ion milling, combined with innovative surface chemistry, the approach minimizes ohmic losses and non‐specific sorption, improving biomolecular detection ...
Dario Cattozzo Mor, Adam Benjamin Plšek, Prasanth Asokan, Van‐Truc Vu, Gizem Aktug, Elena Giordani, Elena Ricciardi, Jiri Perutka, Kamil Önder, Ladislav Fekete, Zdeněk Hubička, Chun‐Jen Huang, Jakub Dostalek   +12 more
wiley   +1 more source

Determinant inequalities for sieved ultraspherical polynomials

International Journal of Mathematics and Mathematical Sciences, 2001
Paul Turan first observed that the Legendre polynomials satisfy the inequality Pn2(x)−Pn−1(x)Pn(x)>0 ...
J. Bustoz, I. S. Pyung
doaj   +1 more source

Design of Nonuniformly Spaced Antenna Arrays Using Orthogonal Coefficients Equating Method [PDF]

Radioengineering, 2022
Orthogonal Coefficients Equating (OCE) method as an analytic method is proposed to synthesize nonuniformly spaced antenna arrays to have array factors nearly equal to that of a previously designed uniformly spaced antenna arrays.
M. Khalaj-Amirhosseini
doaj  

Orthogonal Polynomials in Mathematical Physics

, 2017
This is a review of ($q$-)hypergeometric orthogonal polynomials and their relation to representation theory of quantum groups, to matrix models, to integrable theory, and to knot theory.
Chan, Chuan-Tsung, Mironov, A., Morozov, A., Sleptsov, A.   +3 more
core   +1 more source

Incoherent Digital Holography Empowered by Wavefront and Information Engineering: A Review

Advanced Photonics Research, EarlyView.
Advancements in incoherent digital holography (IDH) have been achieved via wavefront engineering (using spatial light modulators, diffractive optics, and metasurfaces) and information engineering (using compressive sensing and deep learning). This paper presents an overview of IDH with wavefront and information engineering, paving the way toward its ...
Teruyoshi Nobukawa
wiley   +1 more source

New families of superintegrable systems from Hermite and Laguerre exceptional orthogonal polynomials [PDF]

, 2012
In recent years, many exceptional orthogonal polynomials (EOP) were introduced and used to construct new families of 1D exactly solvable quantum potentials, some of which are shape invariant.
I. Marquette, C. Quesne
semanticscholar   +1 more source