Open access peer-reviewed Edited Volume

Polynomials

Theory and Application

Polynomials are well known for their ability to improve their properties and for their applicability in the interdisciplinary fields of engineering and science. Many problems arising in engineering and physics are mathematically constructed by differential equations. Most of these problems can only be solved using special polynomials. Special polynomials and orthonormal polynomials provide a new way to analyze solutions of various equations often encountered in engineering and physical problems. In particular, special polynomials play a fundamental and important role in mathematics and applied mathematics. Until now, research on polynomials has been done in mathematics and applied mathematics only. This book is based on recent results in all areas related to polynomials. Divided into sections on theory and application, this book provides an overview of the current research in the field of polynomials. Topics include cyclotomic and Littlewood polynomials; Descartes' rule of signs; obtaining explicit formulas and identities for polynomials defined by generating functions; polynomials with symmetric zeros; numerical investigation on the structure of the zeros of the q-tangent polynomials; investigation and synthesis of robust polynomials in uncertainty on the basis of the root locus theory; pricing basket options by polynomial approximations; and orthogonal expansion in time domain method for solving Maxwell's equations using paralleling-in-order scheme.

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PolynomialsTheory and ApplicationEdited by Cheon Seoung Ryoo

Published: May 2nd 2019

DOI: 10.5772/intechopen.79093

ISBN: 978-1-83880-270-7

Print ISBN: 978-1-83880-269-1

eBook (PDF) ISBN: 978-1-83880-639-2

Copyright year: 2019

Books open for chapter submissions

890 Total Chapter Downloads

chaptersDownloads

Open access peer-reviewed

1. Cyclotomic and Littlewood Polynomials Associated to Algebras

By José-Antonio de la Peña

95

Open access peer-reviewed

2. New Aspects of Descartes’ Rule of Signs

By Vladimir Petrov Kostov and Boris Shapiro

135

Open access peer-reviewed

3. Obtaining Explicit Formulas and Identities for Polynomials Defined by Generating Functions of the Form F(t)xG(t)α

By Dmitry Kruchinin, Vladimir Kruchinin and Yuriy Shablya

88

Open access peer-reviewed

4. Polynomials with Symmetric Zeros

By Ricardo Vieira

138

Open access peer-reviewed

5. A Numerical Investigation on the Structure of the Zeros of the Q-Tangent Polynomials

By Jung Yoog Kang and Cheon Seoung Ryoo

97

Open access peer-reviewed

6. Investigation and Synthesis of Robust Polynomials in Uncertainty on the Basis of the Root Locus Theory

By Nesenchuk Alla

106

Open access peer-reviewed

7. Pricing Basket Options by Polynomial Approximations

By Pablo Olivares

106

Open access peer-reviewed

8. 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

125

Edited Volume and chapters are indexed in

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  • OpenAIRE
  • Google Scholar
  • AZ ebsco
  • Base
  • CNKI
  • IET Inspec

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