734 
ME. A. CAYLEY’S TABLES OE THE STUE^nAX FrYCTIOXS FOE 
functions respectively, vanish identically (as is in fact obvious from the form of the 
expressions), but these terms may of course be omitted ah initio. 
The following are the results which I have obtained ; it is well known that the last 
or constant function is in each case equal to the discriminant, and as the expressions for 
the discriminant of equations of the fourth and fifth degrees are given, Tables Xo. 12 
and No. 26 in my ‘ Second Memoir upon Quantics*,’ I have thought it sufficient to refer 
to these values without repeating them at length. 
Table for the degree 2. 
The Sturmian functions for the quadric [a, h, c\x, 1)^ are 
Table for the degree 3. 
The Sturmian functions for the cubic (a, h, c, 1)^ are 
* Philosophical Transactions, t. cxlvi. p. 101 (1856). 
