Book:Milton Abramowitz/Handbook of mathematical functions

Milton Abramowitz and Irene A. Stegun: Mathematical Handbook of Formulas and Tables

Published $1964$, Dover Publications

ISBN 0-486-61272-4.

BiBTeX

@book {MR0167642,
    AUTHOR = {Abramowitz, Milton and Stegun, Irene A.},
     TITLE = {Handbook of mathematical functions with formulas, graphs, and
              mathematical tables},
    SERIES = {National Bureau of Standards Applied Mathematics Series},
    VOLUME = {55},
 PUBLISHER = {For sale by the Superintendent of Documents, U.S. Government
              Printing Office, Washington, D.C.},
      YEAR = {1964},
     PAGES = {xiv+1046},
   MRCLASS = {33.00 (65.05)},
  MRNUMBER = {0167642},
MRREVIEWER = {D. H. Lehmer},
}

Contents

Preface

Foreword

Introduction

1. Mathematical Constants

2. Physical Constants and Conversion Factors

3. Elementary Analytical Methods

4. Elementary Transcendental Functions

Logarithmic, Exponential, Circular and Hyperbolic Functions

5. Exponential Integral and Related Functions

6. Gamma Function and Related Functions

7. Error Function and Fresnel Integrals

8. Legendre Functions

9. Bessel Functions of Integer Order

10. Bessel Functions of Fractional Order

11. Integrals of Bessel Functions

12. Struve Functions and Related Functions

13. Confluent Hypergeometric Functions

14. Coulomb Wave Functions

15. Hypergeometric Functions

16. Jacobian Elliptic Functions and Theta Functions

17. Elliptic Integrals

18. Weierstrass Elliptic and Related Functions

19. Parabolic Cylinder Functions

20. Mathieu Functions

21. Spheroidal Wave Functions

22. Orthogonal Polynomials

23. Bernoulli and Euler Polynomials, Riemann Zeta Function

24. Combinatorial Analysis

25. Numerical Interpolation, Differentiation and Integration

26. Probability Functions

27. Miscellaneous Functions

28. Scales of Notation

29. Laplace Transforms

Subject Index

Index of Notations