Any good books for the following topics?

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SUMMARY

This discussion centers on recommended literature for advanced topics in Mathematical Physics, specifically the Wiener-Hopf Technique, Singular Integral Equations, Orthogonal Polynomials, and Hypergeometric Series. Key recommendations include "Function of a Complex Variable" by Carrier, Krook, and Pearson, which provides numerous examples, and "A Course of Modern Analysis" by Whittaker and Watson, available for free online. Additionally, a reference book by Noble on the Wiener-Hopf technique is suggested as a typical resource for this subject matter.

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  • Understanding of Mathematical Physics concepts
  • Familiarity with complex analysis
  • Knowledge of special functions
  • Basic skills in solving integral equations
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  • Research "Wiener-Hopf Technique" and its applications in Mathematical Physics
  • Explore "Singular Integral Equations" and their solutions
  • Study "Orthogonal Polynomials" and their significance in applied mathematics
  • Investigate "Hypergeometric Series" and related functions in depth
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Students and professionals in Mathematical Physics, mathematicians seeking to deepen their understanding of complex analysis, and educators looking for comprehensive resources with practice problems.

joe_f
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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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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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