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Several variants of the Dumont different...

Ma, Shi-Mei...

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Several variants of the Dumont differential system and permutation statistics by Ma, Shi-Mei ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	01-09-2023
Summary	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.
ISBN	-
Item Type	Article
File Type	pdf
File Size	29.34 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1403.0233

Citation

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AMA 11th EditionReferences

Ma, Shi-Mei. Several variants of the Dumont differential system and permutation statistics. Australian National University. September 01, 2023. Accessed November 07, 2024. https://online.provdatabase.com/cite/23189

APA 7th EditionReferences

Ma, Shi-Mei. (2023). Several variants of the Dumont differential system and permutation statistics. Australian National University. https://online.provdatabase.com/cite/23189

Chicago 17th EditionReferences

Ma, Shi-Mei. Several variants of the Dumont differential system and permutation statistics. Australian National University. 2023. https://online.provdatabase.com/cite/23189

HarvardReferences

Ma, Shi-Mei. (2023). Several variants of the Dumont differential system and permutation statistics. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/23189. (Accessed 07 November 2024).

Harvard AustraliaReferences

Ma, Shi-Mei, 2023, Several variants of the Dumont differential system and permutation statistics, Australian National University, viewed 07 November 2024, <https://online.provdatabase.com/cite/23189>

MLA 9th EditionWorks Cited

Ma, Shi-Mei. Several variants of the Dumont differential system and permutation statistics. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/23189.

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