TitleErrata

PrefacePreface to the Ninth Printing

ForewordContentsIntroduction2. Physical Constants and Conversion Factors A. G. McNish3. Elementary Analytical Methods M. Abramowitz3.1. Binomial Theorem and Binomial Coefficients; Arithmetic and Geometric Progressions; Arithmetic, Geometric, Harmonic and Generalized Means3.2. Inequalities3.3. Rules for Differentiation and Integration3.4. Limits, Maxima and Minima3.5. Absolute and Relative Errors3.6. Infinite Series3.7. Complex Numbers and Functions3.8. Algebraic Equations3.9. Successive Approximation Methods3.10. Theorems on Continued FractionsReferences

4. Elementary Transcendental Functions R. Zucker4.1. Logarithmic Function4.2. Exponential Function4.3. Circular Functions4.4. Inverse Circular Functions4.5. Hyperbolic Functions4.6. Inverse Hyperbolic FunctionsReferences

5. Exponential Integral and Related Functions W. Gautschi, W. F. Cahill5.1. Exponential Integral5.2. Sine and Cosine IntegralsReferences

6. Gamma Function and Related Functions P. J. Davis6.1. Gamma Function6.2. Beta Function6.3. Psi (Digamma) Function6.4. Polygamma Functions6.5. Incomplete Gamma Function6.6. Incomplete Beta FunctionReferences

7. Error Function and Fresnel Integrals W. Gautschi7.1. Error Function7.2. Repeated Integrals of the Error Function7.3. Fresnel Integrals7.4. Definite and Indefinite IntegralsReferences

8. Legendre Functions I. A. StegunReferences

9. Bessel Functions of Integer Order F. W. J. OlverBessel Functions J and YModified Bessel Functions I and KKelvin FunctionsReferences

10. Bessel Functions of Fractional Order H. A. Antosiewicz10.1. Spherical Bessel Functions10.2. Modified Spherical Bessel Functions10.3. Riccati-Bessel Functions10.4. Airy FunctionsReferences

11. Integrals of Bessel Functions Y. L. Luke11.1. Simple Integrals of Bessel Functions11.2. Repeated Integrals of J and K11.3. Reduction Formulas for Indefinite Integrals11.4. Definite IntegralsReferences

12. Struve Functions and Related Functions M. Abramowitz12.1. Struve Function H12.2. Modified Struve Function L12.3. Anger and Weber FunctionsReferences

13. Confluent Hypergeometric Functions L. J. SlaterReferences

14. Coulomb Wave Functions M. AbramowitzReferences

15. Hypergeometric Functions F. OberhettingerReferences

16. Jacobian Elliptic Functions and Theta Functions L. M. Milne-ThomsonJacobian Elliptic FunctionsTheta FunctionsReferences

17. Elliptic Integrals L. M. Milne-Thomson17.1. Definition of Elliptic Integrals17.2. Canonical Forms17.3. Complete Elliptic Integrals of the First and Second Kinds17.4. Incomplete Elliptic Integrals of the First and Second Kinds17.5. Landen's Transformation17.6. The Process of the Arithmetic-Geometric Mean17.7. Elliptic Integrals of the Third KindReferences

18. Weierstrass Elliptic and Related Functions T. H. SouthardReferences

19. Parabolic Cylinder Functions J. C. P. MillerThe functions U and VThe function WReferences

20. Mathieu Functions G. BlanchReferences

21. Spheroidal Wave Functions A. N. LowanReferences

22. Orthogonal Polynomials U. W. HochstrasserReferences

23. Bernoulli and Euler Polynomials, Riemann Zeta Function E. V. Haynsworth, K. Goldberg23.1. Bernoulli and Euler Polynomials and the Euler-Maclaurin Formula23.2. Riemann Zeta Function and Other Sums of Reciprocal PowersReferences

24. Combinatorial Analysis K. Goldberg, M. Newman, E. Haynsworth24.1. Basic Numbers24.2. Partitions24.3. Number Theoretic FunctionsReferences

25. Numerical Interpolation, Differentiation and Integration P. J. Davis, I. Polonsky25.1. Differences25.2. Interpolation25.3. Differentiation25.4. Integration25.5. Ordinary Differential EquationsReferences

26. Probability Functions M. Zelen, N. C. Severo26.1. Probability Functions: Definitions and Properties26.2. Normal or Gaussian Probability Function26.3. Bivariate Normal Probability Function26.4. Chi-Square Probability Function26.5. Incomplete Beta Function26.6. F-(Variance-Ratio) Distribution Function26.7. Student's t-DistributionReferences

27. Miscellaneous Functions I. A. Stegun27.1. Debye Functions27.2. Planck's Radiation Function27.3. Einstein Functions27.4. Sievert Integral27.5. Unnamed and Related Integrals27.6. Unnamed Integral27.7. Dilogarithm (Spence's Integral)27.8. Clausen's Integral and Related Summations27.9. Vector-Addition Coefficients

29. Laplace TransformsReferences

Subject IndexIndex of Notations