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More statistics on permutation pairs. (English) Zbl 0814.05005
Electron. J. Comb. 1, Research paper R11, 18 p. (1994); printed version J. Comb. 1, 153-170 (1994).
Summary: Two inversion formulas for enumerating words in the free monoid by \(\theta\)-adjacencies are applied in counting pairs of permutations by various statistics. The generating functions obtained involve refinements of bibasic Bessel functions. We further extend the results to finite sequences of permutations.

MSC:
05A15 Exact enumeration problems, generating functions
05A05 Permutations, words, matrices
33D99 Basic hypergeometric functions
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