Mathematical Functions and Their Approximations
eBook - PDF

Mathematical Functions and Their Approximations

  1. 586 pages
  2. English
  3. PDF
  4. Only available on web
eBook - PDF

Mathematical Functions and Their Approximations

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Table of contents
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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.

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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 & Mathematical Analysis. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Academic Press
Year
2014
ISBN
9781483262451
Topic
Mathematics
Subtopic
Mathematical Analysis
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