Differential equations for p, q-Touchard polynomials

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

doi:https://doi.org/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

Access to Document

https://doi.org/10.1515/math-2016-0082

Cite this

@article{f6994d19af4a43e28b3d413f60a14bbd,

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 = "https://doi.org/10.1515/math-2016-0082",

language = "American English",

volume = "14",

pages = "908--912",

journal = "Open Mathematics",

issn = "1895-1074",

publisher = "Walter de Gruyter GmbH",

number = "1",

}

TY - JOUR

T1 - Differential equations for p, q-Touchard polynomials

AU - Kim, Taekyun

AU - Herscovici, Orli

AU - Mansour, Toufik

AU - Rim, Seog Hoon

PY - 2016/1/1

Y1 - 2016/1/1

N2 - 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.

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

UR - http://www.scopus.com/inward/record.url?scp=84995666107&partnerID=8YFLogxK

U2 - https://doi.org/10.1515/math-2016-0082

DO - https://doi.org/10.1515/math-2016-0082

M3 - Article

SN - 1895-1074

VL - 14

SP - 908

EP - 912

JO - Open Mathematics

JF - Open Mathematics

IS - 1

ER -

Differential equations for p, q-Touchard polynomials

Abstract

Keywords

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this