The present paper is concerned with Bailey lemma which has been proved to be useful in the studies of hypergeometric function and Ramannujan-Rogers identities, etc. We will show that the Bailey lemma in ordinary form ...The present paper is concerned with Bailey lemma which has been proved to be useful in the studies of hypergeometric function and Ramannujan-Rogers identities, etc. We will show that the Bailey lemma in ordinary form is in fact a Riordan chain of a particular Riordan group.展开更多
文摘The present paper is concerned with Bailey lemma which has been proved to be useful in the studies of hypergeometric function and Ramannujan-Rogers identities, etc. We will show that the Bailey lemma in ordinary form is in fact a Riordan chain of a particular Riordan group.