( 156 ) 



<2 a the greatest value, whereas the value of a for x = - - will be 



a 1 +a J + 2a 1 

 equal to — 



4 



m 



l -2 1 



So the ratio — — — is for x = 0, x = — and x = 1 



1 — i — 



i-p -«,+«, -2a„ r^^_ l y +2{l _ t) ^ / /^ 



If we choose the second of these equations, from which it is 

 easiest to draw conclusions with regard to the value of m at given 

 value of l\ we write it first in the following form: 



a, 

 4(1-/»)- 



m 



(Ï - ')' 



If we always take the same value of 1 — /', but different values 



of — , we find very great differences in the value of???-. For instance 



a 2 2 



with - = 2 we have 1 . = 8 (1 — l'), or m = — — ; but 



a, m l + o (1 — ^ ) 



a 2 



with — = 11, w is found equal to m = ^ ,...,, — — • With I* = 1 

 a t 14-0,44(1— «») 



we find of course in both cases m = 2. But for smaller values of 



/ the values of m differ considerably. For / = these values are 



2 2 



- and . 



9 1,44 



