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 Theorem
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References
Glasser, M. L. "A Remarkable Property of Definite Integrals." Math. Comput. 40, 561-563, 1983.Referenced
on Wolfram|Alpha
Glasser's Master Theorem
Cite this as:
Weisstein, Eric W. "Glasser's Master Theorem."
From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/GlassersMasterTheorem.html
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