Results 91 to 100 of about 1,059,315 (385)

Orthogonal Homogeneous Polynomials

Advances in Applied Mathematics, 1999
AbstractAn addition formula, Pythagorean identity, and generating function are obtained for orthogonal homogeneous polynomials of several real variables. Application is made to the study of series of such polynomials. Results include an analog of the Funk-Hecke theorem.
A. Fryant, A. Naftalevich, M. K. Vemuri
openaire   +2 more sources

Landau-Kolmogorov type inequalities in several variables for the Jacobi measure [PDF]

Rendiconti di Matematica e delle Sue Applicazioni, 2014
This paper is devoted to Landau-Kolmogorov type inequalities in several variables in L2 norm for Jacobi measures. These measures are chosen in such a way that the partial derivatives of the Jacobi orthogonal polynomials are also orthogonal.
Lamia Abbas, André Draux
doaj  

Remarks on orthogonal polynomials with respect to varying measures and related problems

International Journal of Mathematics and Mathematical Sciences, 1993
We point out the relation between the orthogonal polynomials with respect to (w.r.t.) varying measures and the so-called orthogonal rationals on the unit circle in the complex plane.
Xin Li
doaj   +1 more source

Discrete orthogonality relations for multi-indexed Laguerre and Jacobi polynomials [PDF]

J. Math. Phys. 62, 013509 (2021), 2019
The discrete orthogonality relations hold for all the orthogonal polynomials obeying three term recurrence relations. We show that they also hold for multi-indexed Laguerre and Jacobi polynomials, which are new orthogonal polynomials obtained by deforming these classical orthogonal polynomials.
arxiv   +1 more source

Universal Results for Correlations of Characteristic Polynomials: Riemann-Hilbert Approach

, 2002
We prove that general correlation functions of both ratios and products of characteristic polynomials of Hermitian random matrices are governed by integrable kernels of three different types: a) those constructed from orthogonal polynomials; b ...
Andreev, Balantekin, Basor, Bleher, Brézin, Brézin, Deift, Deift, Deift, Deift, Eugene Strahov, Fokas, Fokas, Forrester, Forrester, Fyodorov, Fyodorov, Fyodorov, Fyodorov, Fyodorov, Fyodorov, Fyodorov, Fyodorov, Gonek, Hughes, Hughes, Its, Johansson, Kanzieper, Keating, Mehta, Mirlin, Nonnenmacher, Splittorff, Tracy, Tracy, Tracy, Yan V. Fyodorov   +37 more
core   +1 more source

Origin of the Laser‐Induced Picosecond Spin Current Across Magnetization Compensation in Ferrimagnetic GdCo

Advanced Optical Materials, EarlyView.
Picosecond spin current pulses generated by ferrimagnetic GdCo are studied via THz emission spectroscopy. Due to the GdCo micromagnetic structure, the spin current vanishes at compensation when a magnetic field is applied but persists for zero field. At room temperature, the THz spin current is dominated by Co. At low temperatures, Gd can significantly
Guillermo Nava Antonio, Quentin Remy, Jun‐Xiao Lin, Yann Le Guen, Dominik Hamara, Jude Compton‐Stewart, Joseph Barker, Thomas Hauet, Michel Hehn, Stéphane Mangin, Chiara Ciccarelli   +10 more
wiley   +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  

High‐Fidelity Information Transmission Through the Turbulent Atmosphere Utilizing Partially Coherent Cylindrical Vector Beams

Advanced Photonics Research, EarlyView.
A novel free‐space optical communication protocol that combines the benefits of partially coherent light sources with the decoding capabilities of convolutional neural networks is proposed. This approach establishes a robust communication link that can withstand atmospheric turbulence.
Linxuan Yao, Hui Zhang, Yangsheng Yuan, Yaru Gao, Chunhao Liang, Sergey A. Ponomarenko, Yangjian Cai   +6 more
wiley   +1 more source

Raman spectroscopic strategy for the discrimination of recycled polyethylene terephthalate in water bottles

Journal of Raman Spectroscopy, Volume 54, Issue 1, Page 107-112, January 2023., 2023
The combination of Raman and chemometrics allowed us to detect recycled PET bottles. OPLS‐DA model enabled the classification of virgin and recycled PET. Partial least square regression estimated the level of recycled PET content in bottles. Abstract A reliable and quick strategy for the discrimination between recycled and virgin polyethylene ...
Rosa Peñalver, Félix Zapata, Natalia Arroyo‐Manzanares, Ignacio López‐García, Pilar Viñas   +4 more
wiley   +1 more source

The orthogonal polynomials generated by [ceteris omissis] [PDF]

Rendiconti di Matematica e delle Sue Applicazioni, 1995
Starting from the generating function, a differential-recurrence relation is derived, which is then combined with the three-term pure recurrence formula (a necessary and sufficient condition for orthogonal polynomials) to obtain a differential ...
A.L.W. VON BACHHAUS
doaj