On the composition of the distributions x-s+ lnmx+ and xμ+
On the composition of the distributions x-s+ lnmx+ and xμ+
Let F be a distribution and let f be a locally summable function. The distribution F(f) is defined as the neutrix limit of the sequence {Fn(f)}, where Fn(x) = F(x)*?n(x) and {?n(x)} is a certain sequence of infinitely differentiable functions converging to the Dirac delta-function ?(x). The composition of the …