A NOTE ON CERTAIN q-IDENTITIES

DOI10.1093/qmath/os-12.1.173zbMath0063.00168OpenAlexW1970163192MaRDI QIDQ5841755

W. N. Bailey

Publication date: 1941

Published in: The Quarterly Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/qmath/os-12.1.173

Related Items (26)

Formulae related to the \(q\)-Dixon formula with applications to Fibonomial sums ⋮ Basic hypergeometric series very well-poised in U(n) ⋮ Abel's method on summation by parts and well-poised bilateral \(_{5}\psi _{5}\)-series identities ⋮ Random walks and other aspects of the Bailey-Daum distribution ⋮ Abel's method on summation by parts and terminating well-poised \(q\)-series identities ⋮ Some results for \(q\)-functions of many variables ⋮ A new proof of the $q$-Dixon identity ⋮ A new transformation formula involving derived WP-bailey pair and its applications ⋮ Approach of \(q\)-derivative operators to terminating \(q\)-series formulae ⋮ TERMINATING ALMOST POISED <i>q</i>-DIXON SUMS ⋮ Some new identities of Rogers-Ramanujan type ⋮ On the Ramanujan-type function \(k(q) = \chi (q) \chi (-q^2)\) ⋮ Unnamed Item ⋮ Three-term relations for basic hypergeometric series ⋮ A short proof of the \(q\)-Dixon identity ⋮ Elementary proofs of some \(q\)-identities of Jackson and Andrews--Jain ⋮ Cubic sums of \(q\)-binomial coefficients and the Fibonomial coefficients ⋮ Bilateral Bailey lemma and Rogers-Ramanujan identities ⋮ Some formulas of F. H. Jackson ⋮ Certain \(q\)-series identities and applications to lecture hall type partitions ⋮ Some more identities of the Rogers-Ramanujan type ⋮ Bilateral inversions and terminating basic hypergeometric series identities ⋮ Unnamed Item ⋮ On Jackson’s proof of Ramanujan’s 1ψ1 summation formula ⋮ Contiguous relations and summation and transformation formulae for basic hypergeometric series ⋮ q-binomial formulae of Dixon`s type and the Fibonomial sums

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