Scaling Function for the Critical Specific Heat in a Confined Geometry :   Spherical Limit
  The scaling function for the critical specific heat is obtained exactly for temperatures above the bulk transition temperature by working in the spherical limit. Generalization of the function to arbitrary $\alpha$ (the specific heat exponent), gives an excellent account of the experimental data of Mehta and Gasparini near the superfluid transition. 
Saugata Bhattacharyya and J. K. Bhattacharjee