The purpose of this paper is to introduce the concept of C_n WP-Bailey pairs. The C_n WP-Bailey transform is obtained by applying the Cn 6φ5 summation formula. From this result, the Cn WP-Bailey lemma is deduced by ...The purpose of this paper is to introduce the concept of C_n WP-Bailey pairs. The C_n WP-Bailey transform is obtained by applying the Cn 6φ5 summation formula. From this result, the Cn WP-Bailey lemma is deduced by making use of the Cn q-Dougall summation formula. Some applications are investigated. Finally, the case of elliptic Cn WP-Bailey pairs is discussed.展开更多
基金supported by the National Natural Science Foundation of China(11371184)
文摘The purpose of this paper is to introduce the concept of C_n WP-Bailey pairs. The C_n WP-Bailey transform is obtained by applying the Cn 6φ5 summation formula. From this result, the Cn WP-Bailey lemma is deduced by making use of the Cn q-Dougall summation formula. Some applications are investigated. Finally, the case of elliptic Cn WP-Bailey pairs is discussed.