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Several variants of the Dumont different...
Ma, Shi-Mei...
Several variants of the Dumont differential system and permutation statistics by Ma, Shi-Mei ( Author )
Australian National University
01-09-2023
The Dumont differential system on the Jacobi elliptic functions was introduced by Dumont (Math Comp, 1979, 33: 1293--1297) and was extensively studied by Dumont, Viennot, Flajolet and so on. In this paper, we first present a labeling scheme for the cycle structure of permutations. We then introduce two types of Jacobi-pairs of differential equations. We present a general method to derive the solutions of these differential equations. As applications, we present some characterizations for several permutation statistics.
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Article
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29.34 KB
English
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MYR 0.01
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http://arxiv.org/abs/1403.0233
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