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http://dx.doi.org/10.4134/CKMS.c160220

CERTAIN NEW WP-BAILEY PAIRS AND BASIC HYPERGEOMETRIC SERIES IDENTITIES  

Ali, S. Ahmad (Department of Mathematics Babu Banarasi Das University)
Rizvi, Sayyad Nadeem Hasan (Department of Mathematics Babu Banarasi Das University)
Publication Information
Communications of the Korean Mathematical Society / v.32, no.4, 2017 , pp. 885-898 More about this Journal
Abstract
The Bailey lemma has been a powerful tool in the discovery of identities of Rogers-Ramanujan type and also ordinary and basic hyper-geometric series identities. The mechanism of Bailey lemma has also led to the concepts of Bailey pair and Bailey chain. In the present work certain new WP-Bailey pairs have been established. We also have deduced a number of basic hypergeometric series identities as an application of new WP-Bailey pairs.
Keywords
Bailey's lemma; Bailey pairs; Bailey chain; WP-Bailey pairs; basic hypergeometric series; q-series;
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