The purpose of this paper is to introduce the concept of Cn WP-Bailey pairs. The Cn WP-Bailey transform is obtained by applying the Ca 6Ф5 summation formula. From thisresult, the C,, WP-Bailey lemma is deduced by mak...The purpose of this paper is to introduce the concept of Cn WP-Bailey pairs. The Cn WP-Bailey transform is obtained by applying the Ca 6Ф5 summation formula. From thisresult, the C,, WP-Bailey lemma is deduced by making use of the Cn q-Dougall summationformula. Some applications are investigated. Finally, the case of elliptic Cn WP-Bailey pairsis 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 Cn WP-Bailey pairs. The Cn WP-Bailey transform is obtained by applying the Ca 6Ф5 summation formula. From thisresult, the C,, WP-Bailey lemma is deduced by making use of the Cn q-Dougall summationformula. Some applications are investigated. Finally, the case of elliptic Cn WP-Bailey pairsis discussed.