Published online by Cambridge University Press: 20 January 2009
In a previous paper (Shenton, 1953) we have given an expansion for integrals of the form This expansion may be expressed as a determinantal quotient or Schweinsian series. In the present paper we state more general terms under which the expansion holds and consider the case when the limits of integration are infinite and the weight function of the form
In particular we giye expansions for
the Psi function, and
where C (x) is a positive polynomial.