PROPERTIES OF CLASSES OF FUNCTIONS 



59 



'm = [all M 9 (a Pp. 9 Mp^ = 1 ■ M,> = (p + pj)] 



+ [all M 9 (mi = - 3) . ip 

 + [all M ' (mi = - 2) . ip 



"'' + 1.3 .Mp = 0)] 

 3./XP = 0)]. 



even 



48;. ~L-C-D'A, 10 examples (§23alli2), on %"■ (§41.1), 8 on 

 ^^"' (§ 42.812), 9 on ^Vi3 (§ 44.5)^ 10 on "iV".— 



r- AY- 9JJ-(-2, 0), (l/«,0), 



(0, 1/n) (n). 



<P"- AI'- im - (1/n, 0), (0, - 1) (n). 



^"- AI'- 9)2 - (0, - 1), (1/n, 0) (n). 



<l?"- Ap; a)J - (0, - 1), (l/2n, 0) (n). 



s;v^.. AP; 9j; ^(_2, 0), (l/r», 0), 



(0, 1/n) (n). 



^;V'- Ap; 9}J - (- 2, 0), (1/n, 0), 



(0, 1/n) (n). 



iVi- AP; m - (0, - 1), (1/n, 0) (n). 



^1?"- Ap; m - (0, - 1), (1/n, 0) (n). 



^^"- Ap; 9QJ = (-1/n, 0,0), (0, -l/n,0) (n). 



r";AP; 



m = [all yu 9 (mi = 



+ [all M 9 (yUl = 



2-1-0). (ap.jp""" ^p, .3. 

 2-l-0).(3p„9p»-»^p„ .3. 





= 0)] 

 0)]. 



^^ 



48^. LC-DA, 9 examples (§23alli2),t on ^IV- (§44.1), 9 on 



A Ki Ki ivju, ; ivi, K2. 



(1) + + + +;+- :r"'; a;"'; 



m' - [all ju'"'"] s [all m' 9 (3 v'.' ' P' ^ P;- 



z> . p.,. 



0)11: 



*Cf. §48;il0. 



t The proposition cited permits 10 examples in this set. But we have no example for 

 (L C~D A A KiK,~Ki„). Neither have we a proposition precluding the existence of such 

 an example. 



tCf. I. G. A., §48d. 



