Book:Milton Abramowitz/Handbook of Mathematical Functions

Contents

 * Preface
 * , Director


 * Preface to the Ninth Printing
 * , Director
 * National Bureau of Standards, November $1970$


 * 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
 * and


 * 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
 * and


 * 24. Combinatorial Analysis
 * , and


 * 25. Numerical Interpolation, Differentiation and Integration
 * and


 * 26. Probability Functions
 * and


 * 27. Miscellaneous Functions


 * 28. Scales of Notation
 * and


 * 29. Laplace Transforms


 * Subject Index
 * Index of Notations



Source work progress
* : Introduction: $3$. Auxiliary Functions and Arguments

From :


 * : $2$. Physical Constants and Conversion Factors

Much missed out from Table $1.1$, although there is room for adding some of them

Starting from :


 * : $3$: Elementary Analytic Methods: $3.5$ Absolute and Relative Errors: $3.5.4$


 * Some proofs in the above still incomplete or just not done.

Starting from :


 * : $3$: Elementary Analytic Methods: $3.8$ Algebraic Equations: Solution of Cubic Equations: $3.8.3$