Two types of series expansions valid at strong coupling
It 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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Summation formulae for the bilateral basic hypergeometric series ${}_1ψ_1 ( a; b; q, z )$ [PDF]
Hironori Mori, Takeshi Morita
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A 𝑞-analogue of non-strict multiple zeta values and basic hypergeometric series [PDF]
Yoshihiro Takeyama
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Kernel identities for van Diejen's $q$-difference operators and transformation formulas for multiple basic hypergeometric series [PDF]
Yasuho Masuda
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$q$-Supercongruences from squares of basic hypergeometric series [PDF]
Victor J. W. Guo, Long Li
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Some New q-Congruences for Truncated Basic Hypergeometric Series: Even Powers. [PDF]
Guo VJW, Schlosser MJ.
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The generalized Zwegers' $μ$-function and transformation formulas for the bilateral basic hypergeometric series [PDF]
Genki Shibukawa, Satoshi Tsuchimi
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q-Series Identities and Reducibility of Basic Double Hypergeometric Functions [PDF]
H. M. Srivastava, V. K. Jain
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Certain Transformation and Summation Formulae for Poly - Basic Hypergeometric Series [PDF]
Brijesh Singh
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Some transformations of basic hypergeometric series and their applications [PDF]
V. K. Jain
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