Results 71 to 80 of about 1,874,459 (287)

Determining radii of meromorphy via orthogonal polynomials on the unit circle [PDF]

, 2003
19 pages, no figures.-- MSC2000 codes: 30E10, 42C05, 41A20, 30D30.MR#: MR2016676 (2004k:30087)Zbl#: Zbl 1051.30033Using a convergence theorem for Fourier–Padé approximants constructed from orthogonal polynomials on the unit circle, we prove an analogue ...
López Lagomasino, Guillermo, Saff, Ed B., Barrios, Dolores   +2 more
core   +1 more source

Fzd7 Restrains Pink1‐Dependent Mitophagy in Suture Stem Cells to Maintain Cranial Suture Patency

Advanced Science, EarlyView.
How suture stem cells fail to preserve cranial suture patency remains incompletely understood. Integrated single‐cell and high‐resolution spatial transcriptomic analyses identify reduced Fzd7 expression in Prrx1+ suture stem cells as an early feature of craniosynostosis.
Xinyan Chen, Zong Chen, Chenzhi Lai, Yingying Yue, Tian He, Hao Gong, Jing Shi, Xiaoshuang Guo, Yu Wang, Guodong Song, Xiaolei Jin   +10 more
wiley   +1 more source

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

On polar Legendre polynomials [PDF]

, 2010
10 pages, no figures.-- MSC2000 codes: Primary 42C05; Secondary 33C25.-- ArXiv pre-print available at: http://arxiv.org/abs/0709.4537Accepted in Rocky Mountain Journal of Mathematics.We introduce a new class of polynomials {Pn}, that we call polar ...
Urbina, Wilfredo, H. Pijeira Cabrera, Pijeira, Héctor, Bello, José Y., J. Bello Cruz, Pijeira Cabrera, Héctor Esteban, W. Urbina Romero   +6 more
core   +2 more sources

Enhanced High Dimensionality and the Information Processing Capacity in Interfered Spin Wave‐Based Reservoir Computing, Achieved With Eight Detectors

Advanced Electronic Materials, EarlyView.
Physical reservoir computing (PRC) based on spin wave interference has demonstrated high computational performance, yet room for improvement remains. In this study, we fabricated this concept PRC with eight detectors and evaluated the impact of the number of detectors using a chaotic time series prediction task.
Sota Hikasa, Wataru Namiki, Daiki Nishioka, Maki Nishimura, Ryo Iguchi, Kazuya Terabe, Takashi Tsuchiya   +6 more
wiley   +1 more source

Algebraic Aspects of Matrix Orthogonality for Vector Polynomials

Journal of Approximation Theory, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sorokin, Vladimir N., Van Iseghem, Jeannette   +1 more
openaire   +1 more source

Highly‐Uniform Passive Crossbar Arrays of Resistive Switching Random Access Memory (RRAM) for In‐Memory Computing Applications

Advanced Electronic Materials, EarlyView.
Passive resistive memory arrays promise efficient in‐memory computing but suffer from sneak paths and programming variability. Here, highly uniform 32 × 32 passive RRAM crossbars are programmed with multilevel precision below 3% error and 99.5% yield.
S. Ricci, P. Mannocci, M. Porzani, D. Bridarolli, F. Carletti, M. Farronato, D. Ielmini   +6 more
wiley   +1 more source

Lanczos meets orthogonal polynomials

Journal of High Energy Physics
We establish a direct correspondence between the Lanczos approach and the orthogonal polynomials approach in random matrix theory. In the large-N and continuum limits, the average Lanczos coefficients and the recursion coefficients become equivalent ...
Le-Chen Qu
doaj   +1 more source

Dual Szegö pairs of sequences of rational matrix-valued functions

International Journal of Mathematics and Mathematical Sciences, 2006
We study certain sequences of rational matrix-valued functions with poles outside the unit circle. These sequences are recursively constructed based on a sequence of complex numbers with norm less than one and a sequence of strictly contractive matrices.
Andreas Lasarow
doaj   +1 more source

Analysis of the numerical scheme of the one-dimensional fractional Rayleigh–Stokes model arising in a heated generalized problem

AIP Advances, 2023
In this paper, we present a well-organized method to estimate the one-dimensional fractional Rayleigh–Stokes model using the construction of orthogonal Gegenbauer polynomials (GBPs) and Lagrange square interpolation to estimate the time derivative ...
H. Mesgarani, Y. Esmaeelzade Aghdam, M. Khoshkhahtinat, B. Farnam   +3 more
doaj   +1 more source