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math.CA2026
From hyperbolic to complex Euler integrals
N. M. Belousov, G. A. Sarkissian, V. P. Spiridonov
Hyperbolic hypergeometric integrals are defined as Barnes-type integrals of products of hyperbolic gamma functions. Their reduction to ordinary hypergeometric functions is well kno…
math.CA2024★ 2 cited
Complex binomial theorem and pentagon identities
N. M. Belousov, G. A. Sarkissian, V. P. Spiridonov
We consider different pentagon identities realized by the hyperbolic hypergeometric functions and investigate their degenerations to the level of complex hypergeometric functions.…