Author
Roderick Wong
Other affiliations: University of Manitoba, University of British Columbia, University of Iowa ...read more
Bio: Roderick Wong is an academic researcher from City University of Hong Kong. The author has contributed to research in topics: Asymptotic expansion & Orthogonal polynomials. The author has an hindex of 26, co-authored 221 publications receiving 3866 citations. Previous affiliations of Roderick Wong include University of Manitoba & University of British Columbia.
Papers published on a yearly basis
Papers
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Book•
29 Sep 2014
TL;DR: The basic concepts of asymptotic expansions, Mellin transform techniques, and the distributional approach are explained.
Abstract: Preface 1. Fundamental concepts of asymptotics 2. Classical procedures 3. Mellin transform techniques 4. The summability method 5. Elementary theory of distributions 6. The distributional approach 7. Uniform asymptotic expansions 8. Double integrals 9. Higher dimensional integrals Bibliography Symbol Index Author index Subject index.
1,061 citations
TL;DR: This paper investigated the cognitive and metacognitive aspects of writing problems in learning disabled adolescents and found that normally achieving eighth and eleventh graders consistently and clearly surpassed their learning disabled counterparts in both quality and quantity of essay writing.
Abstract: This study investigated the cognitive and metacognitive aspects of writing problems in learning disabled adolescents. Twenty-one learning disabled eighth and eleventh graders constituted the target population. The comparison groups included 15 normally achieving eighth graders and a reading-age control group of 23 normally achieving sixth graders. The participants wrote two reportive essays and one argument essay, and answered a questionnaire designed to probe their metacognition about the writing process.Results indicated that normally achieving eighth graders consistently and clearly surpassed their learning disabled counterparts in both quality and quantity of essay writing. Adult judges rated normally achieving eighth graders' essays to be substantially more interesting, much clearer in communicating the goals, and to contain a substantially more felicitous word choice than those of learning disabled eighth and eleventh graders. Moreover, they wrote longer essays with much fewer spelling errors than l...
107 citations
Book•
27 Sep 2010TL;DR: In this paper, the authors propose a set of hypergeometric functions for second order differential equations, including Gamma, beta, zeta, and spherical functions, and asymptotics.
Abstract: Preface 1. Orientation 2. Gamma, beta, zeta 3. Second order differential equations 4. Orthogonal polynomials 5. Discrete orthogonal polynomials 6. Confluent hypergeometric functions 7. Cylinder functions 8. Hypergeometric functions 9. Spherical functions 10. Asymptotics 11. Elliptic functions References Index.
86 citations
TL;DR: In this article, formal series solutions are obtained for the difference equation y(n+2)+a(n)y(n+)n+1)+b(n), where a n and b n have asymptotic expansions of the form a n ∼∑ ∞ s = 0 a s n s and b b n √ ∞s = 0 b n n s, for large values of n, and b 0 ≠ 0.
71 citations
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TL;DR: A framework for conceptualizing the development of individual differences in reading ability is presented in this paper that synthesizes a great deal of the research literature and places special emphasis on reading ability.
Abstract: A framework for conceptualizing the development of individual differences in reading ability is presented that synthesizes a great deal of the research literature. The framework places special emph...
5,062 citations
Book•
01 Jan 2009
TL;DR: This text can be used as the basis for an advanced undergraduate or a graduate course on the subject, or for self-study, and is certain to become the definitive reference on the topic.
Abstract: Analytic Combinatorics is a self-contained treatment of the mathematics underlying the analysis of discrete structures, which has emerged over the past several decades as an essential tool in the understanding of properties of computer programs and scientific models with applications in physics, biology and chemistry. Thorough treatment of a large number of classical applications is an essential aspect of the presentation. Written by the leaders in the field of analytic combinatorics, this text is certain to become the definitive reference on the topic. The text is complemented with exercises, examples, appendices and notes to aid understanding therefore, it can be used as the basis for an advanced undergraduate or a graduate course on the subject, or for self-study.
3,616 citations
2,084 citations
1,969 citations
Posted Content•
TL;DR: The Askey-scheme of hypergeometric orthogonal polynomials was introduced in this paper, where the q-analogues of the polynomial classes in the Askey scheme are given.
Abstract: We list the so-called Askey-scheme of hypergeometric orthogonal polynomials. In chapter 1 we give the definition, the orthogonality relation, the three term recurrence relation and generating functions of all classes of orthogonal polynomials in this scheme. In chapeter 2 we give all limit relation between different classes of orthogonal polynomials listed in the Askey-scheme.
In chapter 3 we list the q-analogues of the polynomials in the Askey-scheme. We give their definition, orthogonality relation, three term recurrence relation and generating functions. In chapter 4 we give the limit relations between those basic hypergeometric orthogonal polynomials. Finally in chapter 5 we point out how the `classical` hypergeometric orthogonal polynomials of the Askey-scheme can be obtained from their q-analogues.
1,459 citations