A. R. Miller [ibid. 80, No. 1, 83-95 (1997; Zbl 0870.33003)] had given closed form representations for two infinite hypergeometric sums which contain certain Schlömlich series and sums of Lommel and Struve functions. In this paper, values of
under their convergence conditions, are first obtained and closed form representations for the sums
where is a nonnegative integer, together with conditions of their convergence, are given.