Selected Works of Roderick S. C. Wong, the (In 3 Volumes)

Dai, Dan (EDT)/ Dai, Hui-hui (EDT)/ Yang, Tong (EDT)

World Scientific Publishing Co Pte Ltd（2015/09発売）

• 製本 Hardcover:ハードカバー版／ページ数 1560 p.
• 言語 ENG
• 商品コード 9789814656047
• DDC分類 510.92

Full Description

This collection, in three volumes, presents the scientific achievements of Roderick S C Wong, spanning 45 years of his career. It provides a comprehensive overview of the author's work which includes significant discoveries and pioneering contributions, such as his deep analysis on asymptotic approximations of integrals and uniform asymptotic expansions of orthogonal polynomials and special functions; his important contributions to perturbation methods for ordinary differential equations and difference equations; and his advocation of the Riemann-Hilbert approach for global asymptotics of orthogonal polynomials.The book is an essential source of reference for mathematicians, statisticians, engineers, and physicists. It is also a suitable reading for graduate students and interested senior year undergraduate students.

Contents

Explicit Error Terms for Asymptotic Expansions of Stieltjes Transforms; Error Bounds for Asymptotic Expansions of Integrals; Szego's Conjecture on Lebesgue Constants for Legendre Series; Uniform Asymptotic Expansions of Laguerre Polynomials; Asymptotic Expansions for Second-Order Linear Difference Equations with a Turning Point; On a Two-Point Boundary Value Problem with Spurious Solutions; Uniform Asymptotics of the Stieltjes-Wigert Polynomials via the Riemann-Hilbert Approach; On the Connection Formulas of the Third Painleve Transcendent; Asymptotics of Orthogonal Polynomials via Recurrence Relations; and other papers;