Table X.—Log — log j- cos p6 dp. 
WITH APPLICATION TO SPHKPJCAL HARMONIC ANALYSIS, 
221 
1 
cc 
CO 
p^ 
Is- 
-p 
-p 
o 
i-O 
CO 
CO 
Ol 
to 
CO 
oi 
i-H 
1—H 
1—H 
o 
1111^ 
1 1 I ^ 
1 1 
1 
o 
CO 
X 
p— 
* 1 * ' 1 CO 
1 1 1 1 
1 1 1 to 
' ' kO 
' o 
Ol 
1 
o 
?-H 
to 
CO 
p^ 
I 
CO 
CO 
1 
X 
p- 
1 
to 
! 
O t- 
1-H O 
O 
O Ol 
CO to 
p- 
GO 
lO 
O k.O 
kO X 
Co 1 — H 
o 
lO to 
X 
to I-H 
I-H Ol 
X 
1 1 t 1 CO CO 
1 1 1 CO 
1 1 to CO 
, 1-H CO 
GC' ^H 
1-H 
I O c:) 
1 CO 
1— H CO 
X Ol 
to 
1 
1 1 i 1 QO 
i 1 i -h o 
' ' kO t-H 
' O P-- 
O 01 
o 
1 
O CO 
-p to 
O to 
-p OO 
X X 
X 
i 
1 
CO CO 
[ 
CO CO 
1 
X' CO 
I 
1-^ X 
1 
p^ 
1 
o o x< 
01 k-O -P 
1—H 1—H lO- 
CO O ~H 
CO JS- 
-p 
oi o o 
r-H CO X 
kO CO X 
-P' Ol to 
CO o 
o 
O O I— ( 
CO L- 
CO kO 1— 
P— Ol to 
I—H Co 
kO 
, 1 , X>- X o 
, . I-H to to 
, ^ to CO 
CO o Ol 
X' -p 
kO 
X 
t 1 X o 
I : to CO 
1 »o --p- 
»Oi to Ol 
X' -P 
to 
‘ ^ ■ oi o o 
X oi to 
' to X ~P 
X Ci I-H 
O kO 
-p 
to CO X 
CO to X 
X' kO CO 
X I-H to 
CO CO 
kO 
1 
^ ao 
' 
CO CO X 
1 I 
X’ CO CO 
[ ! 
I- CO CO 
1 
X CO 
! 
X 
01 to CO X 
X 01 -+ 
k O P-- ^ X 
CO to P- 
X CO 
^H 
I-H X O 
!>. CO --- 
i-H CO X X 
'P to kO 
I-H CO 
CO 
X oi o 
ic Ol O 
P^ CO p^ to 
to X Ol 
CO CO 
Ol 
, . t- X o 
, Ol 'tP X -p 
to P- Ol X 
O X r-H 
O 1-H 
1 1 to CO co> o 
, Ol Ol CO CO 
kO CO to 
CO CO ^ 
Ol kO> 
CO 
1 i ^ 
‘ X lO X ^ 
».0 CO o '-p 
X --- 
to CO 
to 
to X to 
Ol to to o 
-P -P kO Ol 
P^ kO) Ol 
CO kO 
o 
1 
1 
Ot C5 X X 
! 
■CO CO X X 
1 
X CO CO CO 
1 1 1 
X CO CO 
! 1 
■X CO 
1 
CO 
! 
1 
o Cl o o T —1 
Cl o c-i xi o 
X CO -P x> 
CO X 
to CO 
1 
o 
O ^ O CO 
X X lO Ol X 
Ol kO ^ to 
Ol P-- to 
o o 
I-H 
I 
O X to> oi 
lO ko d I-H 
Ol to CO o 
CO to CO 
O to 
1 , 
, lO to »o I— 1 o 
^ CO X X 
X CO Ol X 
1-H I-H Ol 
O CO 
to 
1 Cti O to lO lO 
•-H o Ol O lO 
CO Ol CO kO 
CO kC ^ 
X to 
rH 
' 
‘ Cti 1 —t to ct> 
I-H CO *0 
CO CO CO X 
CO to ^ 
X X 
Ol 
iO -H Ct to 
O to X P- IP- 
Ol tO> ^ -H 
CO no CO 
CO -p 
-p 
O c:> X X X 
1 
CO Ci P^ X X 
1 
CO CO CO X 
1 1 1 
Co Co CO 
1 1 
Co CO 
1 
CO 
to to ct. -h X 
CO CO P^ kO kO 
X P^ ^ Ol 
CO I-H CO 
to 'P 
(•—\ 1 
o ' Ol Ol i:^ 
X CO P-P CO 
Ol f-H CO 1-H 
Ol ^ I—H 
X Ol 
—H 
o Ci CO X X O 
I-H CO X CO X 
to -P kO '-P 
O -P P*- 
CO o 
CO 
1 , 
o lO O ^ 1>- t- 
lO H I-H CO kO 
to CO Ol 
I-H X »0 
O CO 
p^ 
1 
^ 01 CO o »o o 
CO CO X P-» X 
1—1 lO 
-p to o 
^H 1— H 
kO 
CO o c: -H to CO 
P'- X to kO 
CO kC to kO 
CO I-H to 
CO 1-H 
OI 
O O lO -H 
to r-H O CO X 
to to CO CO 
to CO p-^ 
to X 
to 
O Ct X X X X' 
1 
CO CO CO X X' 
1 
CO X X X 
1 
CO X X 
1 
CO X 
1 
CO 
to O O -t- 
Ol to X f-H 1 -H 
kO P'^ f— H O 
CO r-H CO 
X CO 
-p i 
O ^ Ct -H 
O to P^ Ol Ol 
1— H 1— H CO Ol 
Ol Ol C: 
CO -P 
y: 1 
oi to oi to ^ o 
1—H CO 
O Ol X X 
P'- P^ X 
I— H 1— H 
I-- 1 
to lO to 01 X lO 
to Ol O O kC 
p— kO CO CO' 
O CO to 
Ol ^ 
o 1 
o 
01 ^ to r-H O O 
CO p-. kO CO -f 
to O X I-H 
1-H Ol -P 
O kO 
Ol 
CO O Ct> CO r-H 
X o X Ol Cs 
kO kO to CO 
X to o 
r-H to 
CO 
X Cl X to lO ^ 
i' - H I-H o X 
-P Ol I-H 
p^ -p CO 
P' — p 
to 
Ci X X X X 
CO CO CO CO X 
CO CO CO CO' 
Co CO Co 
CO CO 
CO 
I-H CO t-O Ot I-H 
CO kO P^ CO '— 1 
lO P^ CO I-H 
P^ Co I-H 
CO 1-H 
1 
pH j 
r—H 
1—H 
f-H 
J-H 
CO 
kO 
p— 
CO 
rH 
1! 
II 
II 
11 
II 
ll 
K 
b 
b 
b 
b 
b 
The miinis sign has been inserted wlicre is negative. 
