Inverse Gamma Imaginary Function: Gamma under Quadrant Transformation

① This example demonstrates the graph of an 'inverse gamma imaginary function' by applying a quadrant transformation to the Gamma function, revealing how the function behaves under coordinate changes. ② Core mathematical concepts include the Gamma function, imaginary units, quadrant transformations, and the interplay between function graphs, integrals, and geometric segments. ③ Construction highlights: Based on the construction summary, GeoGebra commands such as Integral and Segment are used, involving objects like function f, parameters a, b, t, points A and B, and text labels, to build the transformed curve and auxiliary elements. ④ Suitable for high school to university learners, this serves as a tool for exploring special function transformations, and can be used in calculus or complex analysis courses to illustrate connections between function graphs, integration, and geometric construction.