Preface

Polynomials are well known for their evincing properties and wide applicability in interdisciplinary areas of science. The problems arising in physical sciences and engineering are mathematically framed in terms of differential equations. Most of them can only be solved using special polynomials. Special polynomials and orthogonal polynomials provide new means of analysis for solving large classes of differential equations often encountered in physical problems. In particular, sequences of special polynomials play a fundamental role in applied mathematics. Such sequences can be described in various ways, for example, by orthogonality conditions, as solutions to differential equations, by generating functions, by recurrence relations and by operational formulas.

Written by leading researchers and mathematicians, this book provides an overview of the current research in the field of polynomials. Topics include but are not limited to the following:


Chapter 8 149

The Orthogonal Expansion in Time-Domain Method for Solving

Maxwell Equations Using Paralleling-in-Order Scheme

by Zheng-Yu Huang, Zheng Sun and Wei He

II


This timely book will help fill a gap in the literature on the theory of polynomials and related fields. We hope it will promote further research and development in this important area.

We thank the authors for their creative contributions and the referees for their prompt and careful reviews.

> Cheon Seoung Ryoo Department of Mathematics, Hannam University, Daejeon, Korea

> > Section 1

Theory of Polynomials

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