Book:Milton Abramowitz/Handbook of Mathematical Functions

From ProofWiki
Jump to navigation Jump to search

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

Published $\text {1964}$, Dover Publications

ISBN 0-486-61272-4


Allen V. Astin, Director
Preface to the Ninth Printing
Lewis M. Branscomb, Director
National Bureau of Standards, November $1970$
1. Mathematical Constants
David S. Liepman
2. Physical Constants and Conversion Factors
A.G. McNish
3. Elementary Analytical Methods
Milton Abramowitz
4. Elementary Transcendental Functions
Logarithmic, Exponential, Circular and Hyperbolic Functions
Ruth Zucker
5. Exponential Integral and Related Functions
Walter Gautschi and William F. Cahill
6. Gamma Function and Related Functions
Philip J. Davis
7. Error Function and Fresnel Integrals
Walter Gautschi
8. Legendre Functions
Irene A. Stegun
9. Bessel Functions of Integer Order
F.W.J. Olver
10. Bessel Functions of Fractional Order
H.A. Antosiewicz
11. Integrals of Bessel Functions
Yudell L. Luke
12. Struve Functions and Related Functions
Milton Abramowitz
13. Confluent Hypergeometric Functions
Lucy Joan Slater
14. Coulomb Wave Functions
Milton Abramowitz
15. Hypergeometric Functions
Fritz Oberhettinger
16. Jacobian Elliptic Functions and Theta Functions
L.M. Milne-Thomson
17. Elliptic Integrals
L.M. Milne-Thomson
18. Weierstrass Elliptic and Related Functions
Thomas H. Southard
19. Parabolic Cylinder Functions
J.C.P. Miller
20. Mathieu Functions
Gertrude Blanch
21. Spheroidal Wave Functions
Arnold N. Lowan
22. Orthogonal Polynomials
Urs W. Hochstrasser
23. Bernoulli and Euler Polynomials, Riemann Zeta Function
Emilie V. Haynsworth and Karl Goldberg
24. Combinatorial Analysis
Karl Goldberg, M. Newman and E. Haynsworth
25. Numerical Interpolation, Differentiation and Integration
Philip J. Davis and Ivan Polonsky
26. Probability Functions
Marvin Zelen and Norman C. Severo
27. Miscellaneous Functions
Irene A. Stegun
28. Scales of Notation
S. Peavy and A. Schopf
29. Laplace Transforms
Subject Index
Index of Notations


Click here for errata

Source work progress

From Next:

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

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

Starting from Next: