Communications of the
Korean Mathematical Society CKMS

In 1965, Bhatt and Pandey obtained the Watson's theorem for double series by using Dixon's theorem on the sum of a ${}_3F_2$. The aim of this paper is to derive twenty three results for double series closely related to the Watson's theorem for double series obtained by Bhatt and Pandey. The results are derived with the help of twenty three summation formulas closely related to the Dixon's theorem on the sum of a ${}_3F_2$ obtained in earlier work by Lavoie, Grondin, Rathie and Arora.

Keywords: the generalized Kampe de Feriet function, double series, Watson's theorem, Dixon's theorem

MSC numbers: Primary 33C70, Secondary 33C05,{\linebreak} 33C20