Tables of Lamé Polynomials
eBook - PDF

Tables of Lamé Polynomials

Mathematical Tables

  1. 560 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Tables of Lamé Polynomials

Mathematical Tables

Book details
Table of contents
Citations

About This Book

Tables of Lamé polynomials presents tables of Lamé polynomials, which were calculated on the Ferranti "Mercury" machine at the London University Computer Unit in England. Lamé polynomials are solutions of Lamé differential equation, which is used in a number of different forms, including the "Jacobian form". A particular Lamé polynomial is specified completely (apart from a constant multiplier) by the type number, the value of N, and the position of the corresponding eigenvalue of h in the set of such eigenvalues. Comprised of three chapters, this volume begins with an introduction to the theory of Lamé polynomials and the equations involved, together with their elementary properties and correspondence with other notations. The tabulated form of Lamé polynomials and the method of tabulation are discussed, and approximations in limiting cases are considered. The next chapter deals with the method of computation of the Lamé polynomials, including the calculation of the coefficients, eigenroots, and eigenvectors. The book concludes with a description of the instructions and terms used in the program using the PIG input routine on the Ferranti "Mercury" computer. This monograph will be of interest to mathematicians and mathematics students.

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Yes, you can access Tables of Lamé Polynomials by F.M. Arscott,I.M. Khabaza in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematics General. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Pergamon
Year
2014
ISBN
9781483184715
Topic
Mathematics
Subtopic
Mathematics General
Index
Mathematics

Table of contents

  1. Front Cover
  2. Tables of Lamé Polynomials
  3. Copyright Page
  4. Table of Contents
  5. PREFACE
  6. CHAPTER 1. SUMMARY OF THE THEORY OF LAMÉ POLYNOMIALS
  7. CHAPTER 2. THE METHOD OF COMPUTATION
  8. CHAPTER 3. THE FERRANTI PROGRAMME