<s>
In	O
mathematics	O
,	O
Abel	B-Algorithm
's	I-Algorithm
summation	I-Algorithm
formula	I-Algorithm
,	O
introduced	O
by	O
Niels	O
Henrik	O
Abel	O
,	O
is	O
intensively	O
used	O
in	O
analytic	O
number	O
theory	O
and	O
the	O
study	O
of	O
special	O
functions	O
to	O
compute	O
series	O
.	O
</s>
<s>
A	O
common	O
way	O
to	O
apply	O
Abel	B-Algorithm
's	I-Algorithm
summation	I-Algorithm
formula	I-Algorithm
is	O
to	O
take	O
the	O
limit	O
of	O
one	O
of	O
these	O
formulas	O
as	O
.	O
</s>
<s>
Abel	B-Algorithm
's	I-Algorithm
summation	I-Algorithm
formula	I-Algorithm
can	O
be	O
generalized	O
to	O
the	O
case	O
where	O
is	O
only	O
assumed	O
to	O
be	O
continuous	O
if	O
the	O
integral	O
is	O
interpreted	O
as	O
a	O
Riemann	O
–	O
Stieltjes	O
integral	O
:	O
</s>
