Proceedings of the Edinburgh Mathematical Society (Series 2)

Research Article

A distributional generalised Stieltjes transformation

R. S. Pathaka1

a1 Banaras Hindu University, Varanasi 221005, India

The generalised Stieltjes transform of a function f(t) xs2208 L(0, ∞) is defined by

S0013091500015716_eqn1

The integral converges for complex s in the region Ω, where Ω is the s-plane cut from the origin along the negative real axis.

(Received July 03 1974)