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Titlebook: Hypergeometric Orthogonal Polynomials and Their q-Analogues; Roelof Koekoek,Peter A. Lesky,René F. Swarttouw Book 20101st edition Springer

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发表于 2025-3-21 17:38:28 | 显示全部楼层 |阅读模式
书目名称Hypergeometric Orthogonal Polynomials and Their q-Analogues
编辑Roelof Koekoek,Peter A. Lesky,René F. Swarttouw
视频videohttp://file.papertrans.cn/431/430637/430637.mp4
概述Includes supplementary material:
丛书名称Springer Monographs in Mathematics
图书封面Titlebook: Hypergeometric Orthogonal Polynomials and Their q-Analogues;  Roelof Koekoek,Peter A. Lesky,René F. Swarttouw Book 20101st edition Springer
描述The present book is about the Askey scheme and the q-Askey scheme, which are graphically displayed right before chapter 9 and chapter 14, respectively. The fa- lies of orthogonal polynomials in these two schemes generalize the classical orth- onal polynomials (Jacobi, Laguerre and Hermite polynomials) and they have pr- erties similar to them. In fact, they have properties so similar that I am inclined (f- lowing Andrews & Askey [34]) to call all families in the (q-)Askey scheme classical orthogonal polynomials, and to call the Jacobi, Laguerre and Hermite polynomials very classical orthogonal polynomials. These very classical orthogonal polynomials are good friends of mine since - most the beginning of my mathematical career. When I was a fresh PhD student at the Mathematical Centre (now CWI) in Amsterdam, Dick Askey spent a sabbatical there during the academic year 1969–1970. He lectured to us in a very stimulating wayabouthypergeometricfunctionsandclassicalorthogonalpolynomials. Evenb- ter, he gave us problems to solve which might be worth a PhD. He also pointed out to us that there was more than just Jacobi, Laguerre and Hermite polynomials, for instance Hahn polynomials, and th
出版日期Book 20101st edition
关键词Askey scheme; Eigenvalue; Hypergeometric function; basic hypergeometric functions; differential equation
版次1
doihttps://doi.org/10.1007/978-3-642-05014-5
isbn_softcover978-3-642-26351-4
isbn_ebook978-3-642-05014-5Series ISSN 1439-7382 Series E-ISSN 2196-9922
issn_series 1439-7382
copyrightSpringer-Verlag Berlin Heidelberg 2010
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发表于 2025-3-21 22:47:13 | 显示全部楼层
Roelof Koekoek,Peter A. Lesky,René F. Swarttouwlarity order is greater than or equal to five independent of the wavelet decomposition level. For the fifth and sixth levels of wavelet decomposition, it is found that the energy measure always performed better than the bispectral phase entropy measure independent of the regularity of the filter ban
发表于 2025-3-22 02:38:05 | 显示全部楼层
Roelof Koekoek,Peter A. Lesky,René F. Swarttouwctions. The proposed methods are introduced that can be used in different situations such as mobile devices, telemedicine, cloud computing, and finally supporting preventive and supportive treatment of CVDs. Since the performance of proposed algorithms is very important, the time duration, as an add
发表于 2025-3-22 05:33:03 | 显示全部楼层
Roelof Koekoek,Peter A. Lesky,René F. Swarttouwatory levels of the EEG signals. To reduce the feature space, the Kruskal-Wallis test based feature ranking is applied. The selected features after feature ranking are used in random forest (RF) classifier for classifying normal from healthy subjects and seizure from epileptic subjects using EEG sig
发表于 2025-3-22 09:57:34 | 显示全部楼层
he within-subject variability evaluation for outliers’ removal and reliable curves’ selection. The patterns are then used for deep learning of discriminative classifiers. The proposed pre-processing method encompasses steps of gait events detection, normalization, outlier detection, and cycles’ sele
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Roelof Koekoek,Peter A. Lesky,René F. Swarttouwte array (FPGA), allowing rapid testing and deployment of hardware systems. Moreover, the novel neuromorphic platform has the potential to efficiently accelerate neural networks as well, which was not possible with the FPGA..In this chapter, we conduct a systematic review of hardware-accelerated neu
发表于 2025-3-23 02:59:11 | 显示全部楼层
Roelof Koekoek,Peter A. Lesky,René F. Swarttouw of life for such patients or providing better treatment. The framework makes use of various features from various signal signatures with contribution from time domain, frequency domain, and inter-channel statistics. Next, we conducted a comparative analysis of SVM, 3-NN, and ensemble learning with
发表于 2025-3-23 07:03:49 | 显示全部楼层
Roelof Koekoek,Peter A. Lesky,René F. Swarttouwomprises both the biosignal formation path from the biosignal source at the physiological level to biosignal propagation in the body, and the biosignal sensing path from the biosignal transmission in the sensor applied on the body up to its conversion to an electric signal. Namely, the optical senso
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