The Complex Analytic Implicit Function Theorem: A Brief Revisit
A concise look at the complex analytic version of the Implicit Function Theorem (IFT), focusing on the case of two complex variables and its generalization.
The main result
Dear Readers, after a short break due to the student examination period at Khalifa University, I am happy to return to the mathematical briefs format that I initiated some time ago. In today's brief, let us remind ourselves of the complex analytic version of the celebrated Implicit Function Theorem (IFT), whose importance in analysis is difficult to overestimate. For the sake of simplicity, let us consider the case of two complex variables only. It can be easily generalised to any finite number of variables if necessary.
Dr. Denys Dutykh
Associate Professor of Mathematics
Khalifa University of Science and Technology, Abu Dhabi, UAE
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