  The decomposition in partial fractions of the quotient of Pochhammer symbols
improves considerably a method, suggested in a precedent paper, which allows
one to obtain the $\varepsilon$-expansion of functions of the hypergeometric
class. The procedure is applied to several Appell and Kamp\'e de F\'eriet
functions considered in the literature. Explicit expressions and interesting
properties of the derivatives of the Pochhammer and reciprocal Pochhammer
symbols, which are essential elements in the procedure, are given in an
appendix.
