We present the results of a renormalization-group calculation of the s
pecific heat of confined He-4 near T(lambda) for three different geome
tries: parallel plates, rectangular box, and cube in three dimensions.
Our results for the plate geometry are compared with existing data an
d with recent 4 - epsilon expansion results at epsilon = 1. Prediction
s are made for measurements close to T(lambda) under microgravity cond
itions.