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

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.

Frequently asked questions

Yes, you can cancel anytime from the Subscription tab in your account settings on the Perlego website. Your subscription will stay active until the end of your current billing period. Learn how to cancel your subscription.
No, books cannot be downloaded as external files, such as PDFs, for use outside of Perlego. However, you can download books within the Perlego app for offline reading on mobile or tablet. Learn more here.
Perlego offers two plans: Essential and Complete
  • Essential is ideal for learners and professionals who enjoy exploring a wide range of subjects. Access the Essential Library with 800,000+ trusted titles and best-sellers across business, personal growth, and the humanities. Includes unlimited reading time and Standard Read Aloud voice.
  • Complete: Perfect for advanced learners and researchers needing full, unrestricted access. Unlock 1.4M+ books across hundreds of subjects, including academic and specialized titles. The Complete Plan also includes advanced features like Premium Read Aloud and Research Assistant.
Both plans are available with monthly, semester, or annual billing cycles.
We are an online textbook subscription service, where you can get access to an entire online library for less than the price of a single book per month. With over 1 million books across 1000+ topics, we’ve got you covered! Learn more here.
Look out for the read-aloud symbol on your next book to see if you can listen to it. The read-aloud tool reads text aloud for you, highlighting the text as it is being read. You can pause it, speed it up and slow it down. Learn more here.
Yes! You can use the Perlego app on both iOS or Android devices to read anytime, anywhere — even offline. Perfect for commutes or when you’re on the go.
Please note we cannot support devices running on iOS 13 and Android 7 or earlier. Learn more about using the app.
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

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