ON q-DIFFERENCE EQUATIONS FOR PARTITIONS WITHOUT k-SEQUENCES
نویسندگان
چکیده
In his study of partitions without k-sequences, Andrews proved a double hypergeometric q-series representation of the generating series and a corresponding k-term q-difference equation. In this note we give new proofs of the double series formula, as well as a new two-term q-difference equation. In both cases, we provide independent analytic and combinatorial proofs.
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