👉 In mathematics, a branch of study that deals with the properties and behavior of complex numbers is called complex analysis. This field studies functions of complex variables, including their derivatives, integrals, series expansions, and applications to geometry and physics. It's important to note that "branchia" is not commonly used in this context because it refers to a specific branch of mathematics, which is the study of complex numbers. The term "branchiate" seems to be a misnomer or an incorrect translation