TOPICS
Glasser's Master Theorem
The identity
 |
(1)
|
holds for any integrable function 
and 
of the form
 |
(2)
|
with 
,
,
and 
arbitrary constants (Glasser 1983). Here, 
denotes a Cauchy principal
value. This generalized the result known to Cauchy that
 |
(3)
|
where 
.
See also
Ramanujan's Master TheoremExplore with Wolfram|Alpha
References
Glasser, M. L. "A Remarkable Property of Definite Integrals." Math. Comput. 40, 561-563, 1983.Referenced on Wolfram|Alpha
Glasser's Master TheoremCite this as:
Weisstein, Eric W. "Glasser's Master Theorem." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/GlassersMasterTheorem.html