Abstract
By using divided differences, we derive two different ways of representing the Lauricella function of n variables F D (n) (a,b 1,b 2,. . .,b n;c;x 1,x 2,. . .,x n) as a finite sum, for b 1,b 2,. . .,b n positive integers, and a,c both positive integers or both positive rational numbers with c−a a positive integer.
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