Any good books for the following topics?

In summary, the lecturer will cover Wiener-Hopf Technique, Singular Integral Equations, Orthogonal Polynomials, and Hypergeometric Series and related functions in their course on Methods of Mathematical Physics. However, there are no specific books with sample and practice questions recommended for this topic. Some recommended general references include "Function of a Complex Variable" by Carrier, Krook, and Pearson, and "A Course of Modern Analysis" by Whittaker and Watson, which covers special functions such as hypergeometric series. There is also a book by Noble on the Wiener-Hopf technique that is commonly used as a reference.
  • #1
joe_f
6
0
Hello all, I am doing a course on Methods of Mathematical Physics and the lecturer is going to cover

1) Wiener-Hopf Technique

2) Singular Integral Equations

3) Orthogonal Polynomials

4) Hypergeometric Series and related functions

Could anyone here suggest any good books for the above topic? The lecturer has a few books on his reading list but none with sample and practice questions.

Thank you very much in advance!
 
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  • #2
At this level finding books with "sample" problems it almost impossible.

Function of a Complex Variable, by Carrier, Krook and Pearson is a classic reference for most of this. They do work through many examples, so in some sense you get sample problems.

Special functions in general, including hypergeometric: Whittaker and Watson, a course of modern analysis. This is available free online. It is many decades old, but a classic.

There is a book by Noble on the W-H technique that is the typical reference.
 

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