Mathematical Functions and Their Approximations
eBook - PDF

Mathematical Functions and Their Approximations

  1. 586 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Mathematical Functions and Their Approximations

About this book

Mathematical Functions and their Approximations is an updated version of the Applied Mathematics Series 55 Handbook based on the 1954 Conference on Mathematical Tables, held at Cambridge, Massachusetts. The aim of the conference is to determine the need for mathematical tables in view of the availability of high speed computing machinery. This work is composed of 14 chapters that cover the machinery for the expansion of the generalized hypergeometric function and other functions in infinite series of Jacobi and Chebyshev polynomials of the first kind. Numerical coefficients for Chebyshev expansions of the more common functions are tabulated. Other chapters contain polynomial and rational approximations for certain class of G-functions, the coefficients in the early polynomials of these rational approximations, and the Padé approximations for many of the elementary functions and the incomplete gamma functions. The remaining chapters describe the development of analytic approximations and expansions. This book will prove useful to mathematicians, advance mathematics students, and researchers.

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 Mathematical Functions and Their Approximations by Yudell L. Luke in PDF and/or ePUB format, as well as other popular books in Mathematics & Calculus. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Academic Press
Year
2014
Print ISBN
9780124599505
eBook ISBN
9781483262451
Topic
Mathematics
Subtopic
Calculus
Index
Mathematics

Table of contents

  1. Front Cover
  2. Mathematical Functions and their Approximations
  3. Copyright Page
  4. Table of Contens
  5. Dedication
  6. PREFACE
  7. CHAPTER I. THE GAMMA FUNCTION AND RELATED FUNCTIONS
  8. CHAPTER II. THE BINOMIAL FUNCTION
  9. CHAPTER III. ELEMENTARY FUNCTIONS
  10. CHAPTER IV. INCOMPLETE GAMMA FUNCTIONS
  11. CHAPTER V. THE GENERALIZED HYPERGEOMETRIC FUNCTION pFQ AND THE G-FUNCTION
  12. CHAPTER VI. THE GAUSSIAN HYPERGEOMETRIC FUNCTION
  13. CHAPTER VII. THE CONFLUENT HYPERGEOMETRIC FUNCTION
  14. CHAPTER VIII. IDENTIFICATION OF THE pFQ AND G-FONCTIONS WITH THE SPECIAL FUNCTIONS
  15. CHAPTER IX. BESSEL FUNCTIONS AND THEIR INTEGRALS
  16. CHAPTER X. LOMMEL FUNCTIONS, STRUVE FUNCTIONS, AND ASSOCIATED BESSEL FUNCTIONS
  17. CHAPTER XI. ORTHOGONAL POLYNOMIALS
  18. CHAPTER XII. COMPUTATION BY USE OF RECURRENCE FORMULAS
  19. CHAPTER XIII. SOME ASPECTS OF RATIONAL AND POLYNOMIAL APPROXIMATIONS
  20. CHAPTER XIV. MISCELLANEOUS TOPICS
  21. BIBLIOGRAPHY
  22. NOTATION INDEX
  23. SUBJECT INDEX