We deduce a formula for the product of two Γ-series in four variables, connected with the lattice B = ℤ〈(1, −1, −1, 1)〉. As a consequence, we obtain a formula for the product of Gauss hypergeometric functions F2,1, which can be interpreted as a part of the explicit decomposition of the tensor product of two representations of 𝔤𝔩3 into the direct sum of irreducible representations. Bibliography: 12 titles.
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Translated from Problemy Matematicheskogo Analiza 103, 2020, pp. 3-10.
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Artamonov, D.V. Formula for the Product of Gauss Hypergeometric Functions and Applications. J Math Sci 249, 817–826 (2020). https://doi.org/10.1007/s10958-020-04975-y
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DOI: https://doi.org/10.1007/s10958-020-04975-y