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    • 正交多项式和q-级数的前沿(英文)/国外优秀数学著作原版系列
      • 作者:(美)M.祖海尔·纳什德//李欣|责编:刘家琳//李烨
      • 出版社:哈尔滨工业大学
      • ISBN:9787576703740
      • 出版日期:2022/09/01
      • 页数:606
    • 售价:39.2
  • 内容大纲

        The idea of preparing this volume was inspired by the invited lectures atthe "International Conference on Orthogonal Polynomials and q-Series",held at the University of Central Florida in Orlando, on May 10–12,2015. The conference was dedicated to Professor Mourad Ismail on his70th birthday. It was strongly felt that it would be useful and timelyto prepare an edited book highlighting important directions of researchon orthogonal polynomials, q-series, and related topics in approximationtheory, number theory, combinatorics, applied and computational harmonicanalysis. Ms. Rochelle Kronzek, Executive Editor of World Scientific, whoattended the conference, encouraged the idea, which ultimately led to apublishing agreement.
        This volume contains 27 chapters exploring various topics on the frontierof research on orthogonal polynomials, q-series, and related topics men-tioned above. We strived for a book that would inspire young researchersand provide pleasant readings for the other generations of researchers inthese fields.
  • 作者介绍

  • 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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