Some triple integral equations

John S. Lowndes

Vol. 38 (1971), No. 2, 515–521

DOI: 10.2140/pjm.1971.38.515

Abstract

In this paper we solve the triple integral equations

(1)

(2)

where α,β,ξ,η,δ > 0, σ > 0, are real parameters, f₂(x) is a known function, Φ(s) is to be determined and

(3)

denote the Mellin transform of h(x) and its inversion formula respectively.

Mathematical Subject Classification 2000

Primary: 45F05

Milestones

Received: 26 May 1970

Published: 1 August 1971