Hadamard finite part integral
Encyclopedia
In mathematics, Hadamard regularization (also called Hadamard finite part or Hadamard's partie finie) is a method of regularizing divergent integrals by dropping some divergent terms and keeping the finite part, introduced by . showed that this can be interpreted as taking the meromorphic continuation of a convergent integral.
If the Cauchy principal value
integral
exists, then the Hadamard finite part integral can be defined as
Also it can be calculated from the definition
If the Cauchy principal value
Cauchy principal value
In mathematics, the Cauchy principal value, named after Augustin Louis Cauchy, is a method for assigning values to certain improper integrals which would otherwise be undefined.-Formulation:...
integral
exists, then the Hadamard finite part integral can be defined as
Also it can be calculated from the definition