Formulæ related to the q-Dixon formula with applications to Fibonomial sums
MetadataShow full item record
The -analogue of Dixon's identity involves three -binomial coefficients as summands. We find many variations of it that have beautiful corollories in terms of Fibonomial sums. Proofs involve either several instances of the -Dixon formula itself or are "mechanical," i.e., use the -Zeilberger algorithm.