A Generalization of the Cauchy Principal Value
A Generalization of the Cauchy Principal Value
If a < u < b and n > 0 then (1) is a so-called improper integral owing to the infinity in the integrand at x = u . When n = 0 we have associated with (1) the well-known Cauchy principal value, namely (2) . Hadamard (1, p. 117 …