Enumeration of Fuss-skew paths

Toufik Mansour; José Luis Ramírez

doi:https://doi.org/10.33039/ami.2022.01.001

Enumeration of Fuss-skew paths

Toufik Mansour, José Luis Ramírez

Department of Mathematics

University of Haifa

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we introduce the concept of a Fuss-skew path and then we study the distribution of the semi-perimeter, area, peaks, and corners statistics. We use generating functions to obtain our main results.

Original language	American English
Pages (from-to)	125-136
Number of pages	12
Journal	Annales Mathematicae et Informaticae
Volume	55
DOIs	https://doi.org/10.33039/ami.2022.01.001
State	Published - 2022

Keywords

Fuss-Catalan numbers
Skew Dyck path
generating function

All Science Journal Classification (ASJC) codes

General Computer Science
General Mathematics

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https://doi.org/10.33039/ami.2022.01.001

Cite this

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title = "Enumeration of Fuss-skew paths",

abstract = "In this paper, we introduce the concept of a Fuss-skew path and then we study the distribution of the semi-perimeter, area, peaks, and corners statistics. We use generating functions to obtain our main results.",

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author = "Toufik Mansour and Ram{\'i}rez, {Jos{\'e} Luis}",

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doi = "https://doi.org/10.33039/ami.2022.01.001",

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AU - Mansour, Toufik

AU - Ramírez, José Luis

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KW - Fuss-Catalan numbers

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KW - generating function

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DO - https://doi.org/10.33039/ami.2022.01.001

M3 - Article

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VL - 55

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JO - Annales Mathematicae et Informaticae

JF - Annales Mathematicae et Informaticae

ER -

Enumeration of Fuss-skew paths

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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