270 
T^rR. K W. RARNE.S ON THE THEORY OF THE 
Hci’ivaiion. 
Name. | 
1 
Symbol. 
First occurrence. 
§,^ogT,{z\o>) ^ 
Logarithm derivative of 
simple gamma function 
1 0 ;) 
“ Gamma Function,” § 2 . 
Solution + 1) = V{z)f(z) 
C function . . . . . 
1 
G(.) 
“ G Function,” § -3. 
Solution of 7 ( 5 ; + 1) = j 
Un.symmetrical double 
gamma function 
1 
GCdr) 
“ Genesis,” &c., § 1 . j 
Vide 18-24 
Double gamma function 
V2{Z 1 OJi, OJo) 
“ Double Gamma Function,” 
§19. 
-i. log E.jd' 1 coi, ( 0 .) 
(A* 
Logarithm derivatives 
of double gamma func¬ 
tion 
“ Double Gamma Function,” 
§19. 
2/7 1 1 — 6 ' 
Simple Riemann ( (zeta) 
function 
((.?,«,w) 
“ Gamma Function,” § 23. 
Doul)le Riemann ( func¬ 
tion 
(■’(•b 1 "Ji, ojo) 
For equal parameters : 
“ G Function,” § 23. 
In general : 
“ Double Gamma Function,” 
§39. 
2 - J( 1 -e““i-)(l-e~" 2 b 
L 
7 los' (0 
_ / + J- 
(0 OJ 
Simple gamma modular 
form 
7ll(id 
“ Gamma Function,” § 2 . 
Finite terms of certain asymp¬ 
totic limits 
Uusymmetrical double 
gamma modular forms 
C(r) 
D(t) 
“ Genesis,” Ac., §§ 3 and 4. 
Do. ilo. 
Symmetrical douldc 
gamma modular forms 
y 2 i(wi, W 2 ) 
722 (^ 1 , 0 J 2 ) 
“ Doulde Gamma Function,” 
§§ 21 and 23. 
I )o. 4o. 
Glaisher-Kinkeliii con¬ 
stant 
A 
“ Gl Function,” § 3. 
7277 
V 77 
Simple Stirling modular 
form 
di(‘d 
“ Gamma Function,” § 31. 
Eimit of a certain dclinite in¬ 
tegral 
Double Stirling modular 
form 
P 2 (wi, W 2 ) 
“ Double Gamma Function,” 
§43. 
Constants which take the values 
0 i ± 1 , according to the dis- 
tril)ution of and mo 
m I 
iri! J 
“ Doulde Gamma Function,” 
i § 21 . ^ 
“Doulde Gamma Function,” 
§39. 
The symbolic notation by Avbicb F.£f{z + w)] is written for 
f{z + wi + oj-z) -/(2 + -/{^ + ^ 2 ) 
is introduced in § 49. 
