TY - JOUR TI - New insights on the J and Y functions in the heat transfer AU - Yang Xiao-Jun AU - Geng Lu-Lu AU - Pan Yu-Mei JN - Thermal Science PY - 2021 VL - 25 IS - 6 SP - 4577 EP - 4584 PT - Article AB - In this article, we propose the integral and differential operators within the kernel of the Y function for the first time. We study the properties of the J and Y functions. We also present the some new applications of the heat transfer and present the new representation for the solution of the heat equation in the 1-D case.