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  • ISBN:9787576703740
  • 装帧:平装-胶订
  • 册数:暂无
  • 重量:暂无
  • 开本:23cm
  • 页数:606页
  • 出版时间:2022-09-01
  • 条形码:9787576703740 ; 978-7-5767-0374-0

内容简介

本书就是这样一部与大型数学机器相关的英文数学专著,中文书名或可译为《正交多项式和q-级数的前沿》。 本书是一部文集,其主编有两位,一位是M.祖海尔.纳什德(M.Zuhair Nashed),美国人,中佛罗里达大学教授,另一位是李欣,美国人,1990年加入中佛罗里达大学并任助理教授,2001年起任教授,在数学、统计学、计算机视觉、教育等领域发表论文70余篇。

目录

1.Mourad Ismail 2.Binomial Andrews–Gordon–Bressoud Identities 3.Symmetric Expansions of Very Well-Poised Basic Hypergeometric Series 4.A Sturm–Liouville Theory for Hahn Difference Operator 5.Solvability of the Hankel Determinant Problem for Real Sequences 6.Convolution and Product Theorems for the Special Affine Fourier Transform 7.A Further Look at Time-and-Band Limiting for Matrix Orthogonal Polynomials 8.The Orthogonality of Al-Salam-Carlitz Polynomialsfor Complex Parameters 9.Crouching AGM, Hidden Modularity 10.Asymptotics of Orthogonal Polynomials and the Painlevé Transcendents 11.From the Gaussian Circle Problem to Multivariate Shannon Sampling 12.Weighted Partition Identities and Divisor Sums 13.On the Ismail-Letessier-Askey Monotonicity Conjecture for Zeros of Ultraspherical Polynomials 14.A Discrete Top-Down Markov Problem in Approximation Theory 15.Supersymmetry of the Quantum Rotor 16.The Method of Brackets in Experimental Mathematics 17.Balanced Modular Parameterizations 18.Some Smallest Parts Functions from Variations of Bailey's Lemma 19.Dual Addition Formulas Associated with Dual Product Formulas 20.Holonomic Tools for Basic Hypergeometric Functions 21.A Direct Evaluation of an Integral of Ismail and Valent 22.Algebraic Generating Functions for Gegenbauer Polynomials 23.q-Analogues of Two Product Formulas of Hypergeometric Functions by Bailey 24.Summation Formulas for Noncommutative Hypergeometric Series 25.Asymptotics of Generalized Hypergeometric Functions 26.Mock Theta-Functions of the Third Order of Ramanujan in Terms of Appell–Lerch Series 27.Certain Positive Semidefinite Matrices of Special Functions 编辑手记
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作者简介

李欣 obtained his B.S. and M.S. degrees inMathematics from Zhejiang University, China, in1983 and 1986, respectively, under supervision ofProfessors Zhu Rui Guo and Zhen Sha, and hisPh.D. in Mathematics from University of SouthFlorida, USA in 1989 under the supervision ofDr. Edward B. Saff. He joined the University ofCentral Florida as an assistant professor in 1990and has been serving as professor since 2001. He haspublished over 70 papers in mathematics, statistics,computer vision, and education.

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