Zeros and poles describe the positive and negative local orders of a meromorphic function. Locally with holomorphic and nonzero at : is a zero, is a pole, and is a regular nonzero value. A simple pole has , and the order of vanishing records .
Articles by others on the same topic
Zeros and poles are fundamental concepts in the field of complex analysis, particularly in control theory and signal processing, where they are used to analyze and design linear systems. ### Zeros: - **Definition**: Zeros are the values of the input variable (often \( s \) in the Laplace domain) that make the transfer function of a system equal to zero.