一些涉及二重级数的q-同余式

Several q-congruences on a double series

二重级数的q-同余式是非常稀少的.通过Watson的8φ7变换公式,建立了一些涉及二重级数的q-同余式.当q趋向于1时,其给出了相应的同余式结论.

There are rare q-congruences on double series in the literature.In this paper,we present several q-congruences involving double series.When q tends to 1,the proposed approach provides the corresponding conclusions for congruences.