ON THE COMPOSITION OF THE DISTRIBUTIONS AND
The neutrix composition of a distribution and a locally summable function is said to exist and be equal to the distribution if the neutrix limit of the sequence is equal to where and is a certain sequence of infinitely differentiable functions converging to the Dirac delta-function It is proved that if denotes the distribution then the neutrix composition exists and
for where
for and B denotes the Beta function.
distribution, Dirac-delta function, neutrix, neutrix limit, neutrix composition of distributions.