Cauchy principal value


Also found in: Wikipedia.

Cauchy principal value

[kō·shē ¦prin·sə·pəl ¦val·yü]
(mathematics)
Also known as principal value.
The Cauchy principal value of provided the limit exists.
If a function ƒ is bounded on an interval (a,b) except in the neighborhood of a point c, the Cauchy principal value of provided the limit exists.
References in periodicals archive ?
1, and the integral is defined as the Cauchy principal value.
where the integrals are defined as Cauchy principal values for [z.
The a's and b's may be complex (with the b's not equal to zero), but the integral is assumed to be well defined, possibly as a Cauchy principal value.
Sine methods, Hilbert transform, Cauchy principal value integral