Summation formulae for the bilateral basic hypergeometric series ${}_1ψ_1 ( a; b; q, z )$ [PDF]
, 2016 Hironori Mori, Takeshi Morita
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A quadratic formula for basic hypergeometric series related to Askey-Wilson polynomials [PDF]
, 2012 Victor J. W. Guo +3 more
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A note on certain classes of multivariable q-series transformations
Le Matematiche, 2010 The present note envisage to derive some new classes of multiple q-series transformations and reduction formulae. Special cases in terms ofthe known and new results are also derived.
Sunil Dutt Purohit, Rajendra Kumar Yadav
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Two types of series expansions valid at strong coupling
Journal of High Energy PhysicsIt is known that perturbative expansions in powers of the coupling in quantum mechanics (QM) and quantum field theory (QFT) are asymptotic series. This can be useful at weak coupling but fails at strong coupling.
Ariel Edery
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A 𝑞-analogue of non-strict multiple zeta values and basic hypergeometric series [PDF]
, 2009 Yoshihiro Takeyama
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Kernel identities for van Diejen's $q$-difference operators and transformation formulas for multiple basic hypergeometric series [PDF]
, 2011 Yasuho Masuda
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Supercongruences arising from basic hypergeometric series
Journal of Number Theory, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Some transformations of basic hypergeometric series and their applications [PDF]
, 1980 V. K. Jain
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The generalized Zwegers' $μ$-function and transformation formulas for the bilateral basic hypergeometric series [PDF]
, 2023 Genki Shibukawa, Satoshi Tsuchimi
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