The Convolution and Neutrix Convolution Involving the Function x s ln(1 + x+)

Brian Fisher and Fatma Al-Sire

Abstract

The neutrix convolutions (1 + x) s ln(1 + x+) ⊛ x r and x s ln(1 + x+) ⊛ x r are evaluated for r, s = 0, 1, 2, . . . . Further results are also given.