CERTAIN NEW WP-BAILEY PAIRS AND BASIC HYPERGEOMETRIC SERIES IDENTITIES

DOI10.4134/CKMS.c160220zbMath1382.33019OpenAlexW3177222592MaRDI QIDQ4605415

Sayyad Nadeem Hasan Rizvi, S. Ahmad Ali

Publication date: 22 February 2018

Full work available at URL: https://www.koreascience.or.kr:443/article/JAKO201732839400500.pdf

zbMATH Keywords

\(q\)-seriesbasic hypergeometric seriesBailey pairsWP-Bailey pairsBailey's lemmaBailey chain

Mathematics Subject Classification ID

Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15)

Cites Work

• Multiple series Rogers-Ramanujan type identities
• On a characteristic equation of well-poised Bailey chains
• Extensions of the well-poised and elliptic well-poised Bailey lemma
• 50 Years of Bailey's lemma
• POLYNOMIAL IDENTITIES OF THE ROGERS-RAMANUJAN TYPE
• Some identities for terminating q-series
• A general theory of identities of the Rogers-Ramanujan type
• A NOTE ON A TRANSFORMATION OF BAILEY
• The WP-Bailey Tree and its Implications
• An Analytic Generalization of the Rogers-Ramanujan Identities for Odd Moduli
• Identities of the Rogers-Ramanujan Type
• A New Proof of Rogers's Transformations of Infinite Series
• Further Identities of the Rogers-Ramanujan Type
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