On certain triple integral equations (Q762714)

The authors derive a solution of a set of triple integral equations associated with the ordinary Bessel function of the first kind \(J_{\nu}(x)\). The method employed is essentially that of \textit{J. C. Cooke} [Q. J. Mech. Appl. Math. 18, 57-72 (1965; Zbl 0195.401)]. The operators of fractional integration employed in the process are modified Lowndes operators of the generalized Hankel transform and generalized Erdelyi-Kober operators whose properties are given earlier by the reviewer and \textit{P. L. Sethi} [Proc. Natl. Acad. Sci. India, Sect. A 42, 57-61 (1972; Zbl 0318.45012)].