In this chapter, the basic and advanced problems concerned with the singularities of complex functions including poles, removable singularity, and essential singularity; complex series; Taylor and Laurent series expansions of complex functions; and residue of complex functions are presented and studied. Herein, different types of problems and exercises are presented that are categorized as follows:

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Singularities of Complex Functions, Complex series, Taylor and Laurent Series Expansions of Complex Functions, and Residue of Complex Functions: Problems

  • Mehdi Rahmani-Andebili

摘要

In this chapter, the basic and advanced problems concerned with the singularities of complex functions including poles, removable singularity, and essential singularity; complex series; Taylor and Laurent series expansions of complex functions; and residue of complex functions are presented and studied. Herein, different types of problems and exercises are presented that are categorized as follows: