Geodesic
Rational hypergeometric identities
Funkcionalʹnyj analiz i ego priloženiâ, Tome 55 (2021) no. 3, pp. 91-97

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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.
Keywords: modular quantum dilogarithm, hyperbolic gamma function, hypergeometric identities. 
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     author = {G. A. Sarkissian and V. P. Spiridonov},
     title = {Rational hypergeometric identities},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {91--97},
     publisher = {mathdoc},
     volume = {55},
     number = {3},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2021_55_3_a8/}
}
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G. A. Sarkissian; V. P. Spiridonov. Rational hypergeometric identities. Funkcionalʹnyj analiz i ego priloženiâ, Tome 55 (2021) no. 3, pp. 91-97. http://geodesic.mathdoc.fr/item/FAA_2021_55_3_a8/