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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.…
math.CA2024★ 2 cited
Complex and rational hypergeometric functions on root systems
G. A. Sarkissian, V. P. Spiridonov
We consider some new limits for the elliptic hypergeometric integrals on root systems. After the degeneration of elliptic beta integrals of type I and type II for root systems $A_n…