ABSTRACT
This chapter discusses different examples of Laurent expansions, and provides an algorithm for calculating the coefficients of the laurent expansion. A set of exercises is provided based on Laurent expansions. The chapter analyzes meromorphic functions, and discrete sets and isolated points, and provides examples of meromorphic functions. Meromorphic functions are very natural objects to consider, primarily because they result from considering the (algebraic) reciprocals of holomorphic functions. Meromorphic functions with infinitely many poles, singularities at infinity, the Laurent expansion at infinity, meromorphic at infinity, and meromorphic functions in the extended plane are also discussed with specific examples and corresponding exercises.
