Results 51 to 60 of about 382,986 (293)

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

Contractions of 2D 2nd Order Quantum Superintegrable Systems and the Askey Scheme for Hypergeometric Orthogonal Polynomials [PDF]

, 2013
We show explicitly that all 2nd order superintegrable systems in 2 dimensions are limiting cases of a single system: the generic 3-parameter potential on the 2-sphere, S9 in our listing.
Willard Miller Jr., Kalnins, Ernie G., Miller, W., Jr., Miller Jr., W., Sarah Post, Post, Sarah, Post, S., Ernest G. Kalnins, Kalnins, E.G.   +8 more
core   +1 more source

Epitaxially Integrated Electro‐Optic KNbO3 Thin Films on Silicon

Advanced Materials, EarlyView.
We demonstrate the first epitaxial integration of electro‐optic KNbO3 thin films on silicon using suboxide molecular‐beam epitaxy. Combining adsorption‐controlled molecular‐beam epitaxy, advanced characterization, and phase‐field modeling, we demonstrate phase‐pure crystalline films mirroring bulk crystals with robust Pockels response, enabling future ...
Sankalpa Hazra, Tobias Schwaigert, Yingxin Zhu, Aiden Ross, Muhammad Aminul Haque Chowdhury, Shun‐Li Shang, Sameer Singh, Zhiyu Zhang, Zhe Wang, Brynn Brower, Saugata Sarker, Suchismita Sarker, Zi‐Kui Liu, Rama K. Vasudevan, Long‐Qing Chen, Yang Yang, Darrell G. Schlom, Venkatraman Gopalan   +17 more
wiley   +1 more source

New Stability Criteria for Discrete Linear Systems Based on Orthogonal Polynomials

Mathematics, 2020
A new criterion for Schur stability is derived by using basic results of the theory of orthogonal polynomials. In particular, we use the relation between orthogonal polynomials on the real line and on the unit circle known as the Szegő transformation ...
Luis E. Garza, Noé Martínez, Gerardo Romero   +2 more
doaj   +1 more source

Monomiality, orthogonal and pseudo-orthogonal polynomials [PDF]

International Mathematical Forum, 2006
We reconsider some families of orthogonal polynomials, within the framework of the so called monomiality principle. We show that the associated operational formalism allows the framing of the polynomial orthogonality using an algebraic point of view. Within such a frame- work, we introduce families of pseudo-orthogonal polynomials, namely polynomials,
GERMANO, Bruna, DATTIOLI G, MARTINELLI, Maria Renata, RICCI P. E.   +3 more
openaire   +2 more sources

The Relationship Between Semiclassical Laguerre Polynomials and the Fourth Painlevé Equation [PDF]

, 2013
We discuss the relationship between the recurrence coefficients of orthogonal polynomials with respect to a semiclassical Laguerre weight and classical solutions of the fourth Painlevé equation. We show that the coefficients in these recurrence relations
Clarkson, Peter, Jordaan, Kerstin, Clarkson, P.A., Jordaan, Kerstin Heidrun   +3 more
core   +1 more source

Quantum Saturation of the Electro‐Optic Effect

Advanced Materials, EarlyView.
At low temperatures, quantum fluctuations saturate the ferroelectric soft mode, suppressing thermal sensitivity in functional properties. By tuning the phase boundaries of ferroelectric materials to 0 K, large temperature insensitive electro‐optic effects are realized, establishing a pathway toward high‐efficiency optical modulation for quantum ...
Aiden Ross, Sankalpa Hazra, Albert Suceava, Dylan Sotir, Ian Reed Philippi, Darrell G. Schlom, Venkatraman Gopalan, Long‐Qing Chen   +7 more
wiley   +1 more source

A Conjecture on Exceptional Orthogonal Polynomials [PDF]

Foundations of Computational Mathematics, 2012
Exceptional orthogonal polynomial systems (X-OPS) arise as eigenfunctions of Sturm-Liouville problems and generalize in this sense the classical families of Hermite, Laguerre and Jacobi. They also generalize the family of CPRS orthogonal polynomials. We formulate the following conjecture: every exceptional orthogonal polynomial system is related to a ...
David Gómez-Ullate, Niky Kamran, Robert Milson   +2 more
openaire   +4 more sources

Multivariate Jacobi and Laguerre polynomials, infinite-dimensional extensions, and their probabilistic connections with multivariate Hahn and Meixner polynomials [PDF]

, 2008
Multivariate versions of classical orthogonal polynomials such as Jacobi, Hahn, Laguerre, Meixner are reviewed and their connection explored by adopting a probabilistic approach.
Robert C. Griffiths, Spanò, Dario, Griffiths, Robert C., Dario Spanò, Spanó, D, Griffiths, Robert   +5 more
core   +1 more source

Life‐Like Ferrous Oxide Microspheres from Kombucha

Advanced Materials Interfaces, EarlyView.
Kombucha bacterial cellulose, sodium alginate, and ferrous nitrate self‐assemble into membrane‐enclosed iron oxide microspheres. These microspheres bud daughter vesicles, sustain 24‐h electrochemical oscillations, and filter theta‐band signals.
Panagiotis Mougkogiannis, Anna Nikolaidou, Andrew Adamatzky   +2 more
wiley   +1 more source