• Title/Summary/Keyword: WP-Bailey pairs

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CERTAIN NEW WP-BAILEY PAIRS AND BASIC HYPERGEOMETRIC SERIES IDENTITIES

  • Ali, S. Ahmad;Rizvi, Sayyad Nadeem Hasan
    • Communications of the Korean Mathematical Society
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    • v.32 no.4
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    • pp.885-898
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    • 2017
  • 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.