Sandwich results for a family of p-valent meromorphic functions with application to heat diffusion in symmetric media

This paper studies the differential subordination for a family of symmetrically p-valent meromorphic functions. We rely on the principles of best subordinate and best dominant to derive several sandwich theorems that reveal the behavior and analytical properties of this class. These results gain importance through their application to the problem of heat diffusion in radially symmetric media, as the derived conditions allow for an accurate description of the heat distribution and ensure its stability. Thus, this work makes a dual contribution, combining the development of mathematical theory with the enhancement of its ability to model physical phenomena practically.