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Analysis, Combinatorics and Computing
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Editors: He, Tian-Xiao (Illinois Wesleyan University); Shiue, Peter J.S.(University of Nevada Las Vegas) ; Li, Zhongkai(Capital Normal University)
Book Description:
This book covers topics such as the real and complex analysis, combinatorics and its applications, approximation theory and numerical analysis, special functions and its applications, computing and wavelets. Most of these chapters not only present recent results but also include detailed backgrounds and references. Thus they can serve as introductions or starting points for further research in the topics.

Table of Contents:
A Brief Biography of Professor L.C. Hsu (Lizhi XU); Preface; Contributors; Old and New Results on the Operators of Bleimann, Butzer and Hahn (Ulrich Abel and Mircea Ivan); Three-Dimensional Object Recognition using Invariant Euclidean Signature Curves (Aaron D. Ames, Jeffrey A. Jalkio and Cheri Shakiban); Bernoulli Functions, Hilbert-Type Poisson Summation Formulae, Partial Fraction Expansions, and Hilbert-Eisenstein Series (Paul L. Butzer); A Note on the Number of Irreductible Polynomials over Finite Fields (Yaotsu Chang); A Sharp Function Estimate for Multilinear Singular Integrals (Wengu Chen); Inversion Techniques and Combinatorial Identities: Balances Hypergeometric Series (Wenchang Chu); Construction of Non-Tensor Typr Multiwavelets (Jizheng Di); Mean Square Convergence of Hakopian Interpolation on the Disk (Ren-Zhong Feng anf Xue-Zhang Liang); A New Fundamental Inequality and its Applications (Mingzhe Gao); Annihilation Coefficients (Henry W. Gould); An Efficient Recursive Algorithm of Generalized Inverse Complex Function-Valued Padé Approximants Used in Solving Integral Equations (Chuanquing Gu and Chunjing Li); Dimensionality-Reducing Expansion, Boundary Type Quadrature Formulas, and the Boundary Element Method (Tian-Xiao He); A General Expansion Formula (Leetsch C. Hsu); A Dimension Formula of a Class of Fractal Surfaces (Huikun Jiang); Generalization of the Bernstein Operator (Yasuo Kageyama); Self-Converse Mendelsohn Designs with Block Size 4n (Qingde Kang, Guohui Hao and Zhifen Guo); Multidimensional Generalized Integral Wavelet Transform (Jichang Kuang and Hexing Hu); Properly Posed Set of Nodes for Bivariate Lagrange Interpolation Along an Algebraic Curve (Xue-Zhang Liang, Li-Hong Cui and Jie-Lin Zhang); Construction of MRAs with Filter Length 4 (Jiufen Liu, Lihua Yang and Daren Huang); Harmonic Analysis on Extended Jacobi Expansions: An Application of Dunkl’s Theory (Limin Liu and Zhongkai Li); Endpoint Estimates for Multilinear Singular Integral Operators (Shanzhen Lu and Dunyan Yan); The Möbius Sum of the Determinant and Its Applications (Xinrong Ma); A Convergence Theorem for Simultaneous Newton Padé Approximation (Baorui Song); On Construction Sequence Optimization of Cascaded Hydroelectric Stations (Xingming Sun, Huowang Chen, Jianping Yin, Xinhai Jin, Aiming Yang and Changyun Li); A Reexamination on the Problem of Advanced Response (Tianrong Tan); On Generalized Stirling Numbers (Long-Yi Tsai); Some Characterizations for the Wrapped Butterfly (Yaokun Wu and Qiao Li); (0,2) Interpolation Based on the Zeros of the Normalized Partial Sum of Exponential Function (Siqing Xie); One Some Classical Operators on L(log+L) (Han Xu and Jiecheng Chen); On a Generalization of the Binomial Sequence Transformation (Yongzhi (Peter) Yang); Combinatorial Expressions of Lk (n) and Beal’s Conjecture (Dongsheng Yin); On the Shapiro Problem of Random Walks with Absorbing Points (Chizhong Zhou); On Weighted Turán Type Inequality in Lp Spaces (S.P. Zhou); Index

   Binding: Hardcover
   Pub. Date: 2002
   ISBN: 1-59033-405-1
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Analysis, Combinatorics and Computing