On identities involving the sixth order mock theta functions
, 2009 We present q-series proofs of four identities involving sixth order mock theta functions from Ramanujan's lost notebook. We also show how Ramanujan's identities can be used to give a quick proof of four sixth order identities of Berndt and ...
Lovejoy, Jeremy
core
Generalizations of Ramanujan's reciprocity formula and the Askey-Wilson integral [PDF]
, 2013 By using two known transformation formulas for basic hypergeometric series, we establish a direct extension of Bailey's $_6\psi_6$-series identity. Subsequently, it and Milne's identity are employed to drive multi-variable generalizations of Ramanujan's ...
Wang, Xiaoxia +2 more
core
New q-Analogues of Van Hamme's (E.2) Supercongruence and of a Supercongruence by Swisher. [PDF]
Results Math, 2023 Guo VJW, Schlosser MJ.
europepmc +1 more source
Three families of q-supercongruences modulo the square and cube of a cyclotomic polynomial. [PDF]
Rev R Acad Cienc Exactas Fis Nat A Mat, 2023 Guo VJW, Schlosser MJ.
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Some <i>q</i>-supercongruences modulo the square and cube of a cyclotomic polynomial. [PDF]
Rev R Acad Cienc Exactas Fis Nat A Mat, 2021 Guo VJW, Schlosser MJ.
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A New Family of q-Supercongruences Modulo the Fourth Power of a Cyclotomic Polynomial. [PDF]
Results Math, 2020 Guo VJW, Schlosser MJ.
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Some New q-Congruences for Truncated Basic Hypergeometric Series: Even Powers. [PDF]
Results Math, 2020 Guo VJW, Schlosser MJ.
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Some new transformations for Bailey pairs and WP-Bailey pairs
Open Mathematics, 2010 Mc Laughlin James
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Uniform convergence of basic Fourier-Bessel series on a <i>q</i>-linear grid. [PDF]
Ramanujan J, 2019 Abreu LD +2 more
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LC-MS identification and preparative HPLC isolation of Frankenia pulverulenta phenolics with antioxidant and neuroprotective capacities in PC12 cell line. [PDF]
Pharm Biol, 2017 Ben Mansour R +5 more
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