Generalized p-adic hypergeometric functions of logarithmic type are introduced, shown to obey congruence relations like prior work, and proven to have zero special values at t=1 under certain conditions.
Asakura,A generalization of the Ross symbols in higherK-groups and hypergeometric functions II, Preprint, available athttps://arxiv.org/abs/2102.07946, (2022)
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On special values of generalized $p$-adic hypergeometric functions of logarithmic type
Generalized p-adic hypergeometric functions of logarithmic type are introduced, shown to obey congruence relations like prior work, and proven to have zero special values at t=1 under certain conditions.