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math.RT2026
Group Permanents of Abelian -Groups and Young Diagrams
Naoya Yamaguchi, Yuka Yamaguchi
We study the number $\Nu(\Per(G_λ))$ of distinct monomials with nonzero coefficients in the group permanent of an abelian -group associated with a partition of a posit…
math.CA2026
Three-Term Recurrence Relations for Confluent Basic Hypergeometric Series with Applications to q-Bessel Functions
Yuka Yamaguchi
We establish three-term recurrence relations for the and basic hypergeometric series involving multiplicative shifts of the parameters and the variable by integ…