Differential equations for p, q-Touchard polynomials

Taekyun Kim; Orli Herscovici; Toufik Mansour; Seog Hoon Rim

doi:10.1515/math-2016-0082

Differential equations for p, q-Touchard polynomials

Taekyun Kim, Orli Herscovici, Toufik Mansour, Seog Hoon Rim

Department of Mathematics

University of Haifa

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

Abstract

In this paper, we present differential equation for the generating function of the p, q-Touchard polynomials. An application to ordered partitions of a set is investigated.

Original language	American English
Pages (from-to)	908-912
Number of pages	5
Journal	Open Mathematics
Volume	14
Issue number	1
DOIs	https://doi.org/10.1515/math-2016-0082
State	Published - 1 Jan 2016

Keywords

Exponential polynomials
Ordered partitions
Touchard polynomials

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1515/math-2016-0082

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title = "Differential equations for p, q-Touchard polynomials",

abstract = "In this paper, we present differential equation for the generating function of the p, q-Touchard polynomials. An application to ordered partitions of a set is investigated.",

keywords = "Exponential polynomials, Ordered partitions, Touchard polynomials",

author = "Taekyun Kim and Orli Herscovici and Toufik Mansour and Rim, \{Seog Hoon\}",

note = "Publisher Copyright: {\textcopyright} 2016 Kim et al.",

year = "2016",

month = jan,

day = "1",

doi = "10.1515/math-2016-0082",

language = "American English",

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AB - In this paper, we present differential equation for the generating function of the p, q-Touchard polynomials. An application to ordered partitions of a set is investigated.

KW - Exponential polynomials

KW - Ordered partitions

KW - Touchard polynomials

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DO - 10.1515/math-2016-0082

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JO - Open Mathematics

JF - Open Mathematics

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Differential equations for p, q-Touchard polynomials

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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