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Rational hypergeometric identities
Published 18 Dec 2020 in math.CA, math-ph, and math.MP | (2012.10265v2)
Abstract: A special singular limit $\omega_1/\omega_2\to 1$ is considered for the Faddeev modular quantum dilogarithm (hyperbolic gamma function) and the corresponding hyperbolic integrals. It brings a new class of hypergeometric identities associated with bilateral sums of Mellin-Barnes type integrals of particular Pochhammer symbol products.
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