Handbook of Mathematical Functions

Preface; Foreword; Introduction1. 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. K. 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