Contents

• 1 Introduction
• 2 Mathematical Developments
• 3 Packages, Libraries and Systems
  • 3.1 Software Packages
  • 3.2 Intermediate Libraries
  • 3.3 Comprehensive Libraries
  • 3.4 Interactive Systems
  
  
• 4 Functions of One Variable
  • 4.1 Airy Functions
  • 4.2 Error Functions, Dawson's Integral, Fresnel Integrals, Goodwin-Staton Integral
  • 4.3 Exponential Integrals, Logarithmic Integral, Sine and Cosine Integrals
  • 4.4 Gamma, Psi, and Polygamma Functions
  • 4.5 Landau Density and Distribution Functions
  • 4.6 Polylogarithms, Clausen Integral
  • 4.7 Zeta Function
  • 4.8 Additional Functions of One Variable
  
  
• 5 Functions of Two or More Variables
  • 5.1 Bessel Functions
  • 5.2 Coulomb Wave Functions
  • 5.3 Elliptic Integrals and Functions
  • 5.4 Fermi-Dirac, Bose-Einstein, and Debye Integrals
  • 5.5 Hypergeometric and Confluent Hypergeometric Functions
  • 5.6 Incomplete Bessel Functions, Incomplete Beta Function
  • 5.7 Incomplete Gamma Functions, Generalized Exponential Integrals
  • 5.8 Legendre Functions and Associated Legendre Functions
  • 5.9 Mathieu, Lamé, and Spheroidal Wave Functions
  • 5.10 Orthogonal Polynomials
  • 5.11 Polylogarithms (Generalized)
  • 5.12 Struve and Anger-Weber Functions
  • 5.13 Weber Parabolic Cylinder Functions
  • 5.14 Zeta Function (Generalized)
  • 5.15 Additional Functions of Two or More Variables
  
  
• 6 Testing and Library Construction
• 7 Future Trends
• Acknowledgments
• A Note on the Reference Acronyms
• Bibliography