(1.2.3...) (1.2.3...r) (1.2.3...)...

subject to the condition that

.....

arm

m

(1.2.3...)

the values of 1, T, &c. being either 0, or a positive integer;
and the partial divisor for a value 0 being 1.

(27.) (a + a1x+α2x2 +α ̧x3 + &c.)”

(Lacr. Introd. Diff. Calc. 19-24; Arbogast, Calc. des Deriv. 33.)

In this theorem, n has been considered a positive integer; if an expansion be required for any value of n, we must expand in a similar manner