Results 111 to 120 of about 61,972 (313)
The Symmetrical H_q-Semiclassical Orthogonal Polynomials of Class One
Symmetry, Integrability and Geometry: Methods and Applications, 2009 We investigate the quadratic decomposition and duality to classify symmetrical H_q-semiclassical orthogonal q-polynomials of class one where H_q is the Hahn's operator.
Abdallah Ghressi, Lotfi Khériji
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Applications of Artificial Intelligence in Neurological Voice Disorders
World Journal of Otorhinolaryngology - Head and Neck Surgery, EarlyView.ABSTRACT Neurological voice disorders, such as Parkinson's disease, laryngeal dystonia, and stroke‐induced dysarthria, significantly impact speech production and communication. Traditional diagnostic methods rely on subjective assessment, whereas artificial intelligence (AI) offers objective, noninvasive, and scalable solutions for voice analysis. This
Dongren Yao +2 more
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Journal of Inequalities and Applications, 2010 Let denote the sequence of polynomials orthogonal with respect to the non-discrete Sobolev inner product , where and with , . In this paper, we prove a Cohen type inequality for the Fourier expansion in terms of the orthogonal polynomials ...
Marcellán Francisco +1 more
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Polynomials orthogonal with respect to discrete convolution
Journal of Mathematical Analysis and Applications, 1976 AbstractThe concept of “Discrete Convolution Orthogonality” is introduced and investigated. This leads to new orthogonality relations for the Charlier and Meixner polynomials. This in turn leads to bilinear representations for them. We also show that the zeros of a family of convolution orthogonal polynomials are real and simple.
Al-Salam, Waleed A., Ismail, Mourad E.H.
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Distributed Formation Control for Heterogeneous Robot Systems Based on Competitive Mechanism
CAAI Transactions on Intelligence Technology, EarlyView.ABSTRACT This paper presents an adaptive formation control method for a heterogeneous robot swarm, utilising a multilevel formation task tree to model various types of formation tasks and a single‐state distributed k‐winner‐take‐all (S‐DKWTA) algorithm to address the MRTA problem.
Zhenghui Cui, Xiaoyi Gu, Ning Tan
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Discrete Painlevé equations for recurrence coefficients of orthogonal polynomials [PDF]
Difference Equations, Special Functions and Orthogonal Polynomials, 2007 We give four examples of families of orthogonal polynomials for which the coefficients in the recurrence relation satisfy a discrete Painlev equation. The first example deals with Freud weights $|x|^ \exp(-|x|^m)$ on the real line, and we repeat Freud's derivation and analysis for the cases $m=2,4,6$.
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Journal of Agricultural Economics, EarlyView.ABSTRACT Most research questions in agricultural and applied economics are causal in nature: they study how changes in one or more variables (such as policies, prices or weather) affect one or more other variables (e.g., income, crop yields or pollution).
Arne Henningsen +6 more
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The RAND Journal of Economics, EarlyView.ABSTRACT We study a long‐horizon, oligopolistic market with random shocks to demand that can be arbitraged by two storage operators with finite capacity. This problem applies to any storable commodity—that is, most commodities. Because the arbitrage spread is so sensitive to market power, storage operators face strong incentives to restrain quantities ...
Sergei Balakin, Guillaume Roger
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Nonintersecting Brownian Motions on the Half-Line and Discrete Gaussian Orthogonal Polynomials [PDF]
, 2012 Karl Liechty, Karl Liechty
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Toda and Laguerre-Freud equations and tau functions for hypergeometric discrete multiple orthogonal polynomials [PDF]
, 2023 Itsaso Fernández‐Irisarri +1 more
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