Special Functions – Nico M. Temme – 2nd Edition

Description

This gives an introduction to the classical, well-known which play a role in mathematical physics, especially in boundary value . and complex function theory form the basis of the book and numerous formulas are given. Particular attention is given to asymptomatic and numerical aspects of , with numerous references to recent literature provided.

Table of Content



  1. Bernoulli, Euler and Stirling Numbers.

  2. Useful Methods and Techniques.

  3. The Gamma Function.

  4. Differential Equations.

  5. Hypergeometric Functions.

  6. Orthogonal Polynomials.

  7. Confluent Hypergeometric Functions.

  8. Legendre Functions.

  9. Bessel Functions.

  10. Separating the Wave Equation.

  11. Special Statistical Distribution Functions.

  12. Elliptic Integrals and Elliptic Functions.

  13. Numerical Aspects of Special Functions.


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