Linear differential equations for families of polynomials

Taekyun Kim; Dae San Kim; Toufik Mansour; Jong Jin Seo

doi:10.1186/s13660-016-1038-8

Linear differential equations for families of polynomials

Taekyun Kim
, Dae San Kim
, Toufik Mansour
, Jong Jin Seo

Department of Mathematics

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

Abstract

In this paper, we present linear differential equations for the generating functions of the Poisson-Charlier, actuarial, and Meixner polynomials. Also, we give an application for each case.

Original language	English
Article number	95
Journal	Journal of Inequalities and Applications
Volume	2016
Issue number	1
DOIs	https://doi.org/10.1186/s13660-016-1038-8
State	Published - 1 Dec 2016

Bibliographical note

Publisher Copyright:
© 2016, Kim et al.

Keywords

Meixner polynomials
Poisson-Charlier polynomials
actuarial polynomials

ASJC Scopus subject areas

Analysis
Discrete Mathematics and Combinatorics
Applied Mathematics

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10.1186/s13660-016-1038-8

Cite this

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title = "Linear differential equations for families of polynomials",

abstract = "In this paper, we present linear differential equations for the generating functions of the Poisson-Charlier, actuarial, and Meixner polynomials. Also, we give an application for each case.",

keywords = "Meixner polynomials, Poisson-Charlier polynomials, actuarial polynomials",

author = "Taekyun Kim and Kim, \{Dae San\} and Toufik Mansour and Seo, \{Jong Jin\}",

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

year = "2016",

month = dec,

day = "1",

doi = "10.1186/s13660-016-1038-8",

language = "English",

volume = "2016",

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AU - Kim, Taekyun

AU - Kim, Dae San

AU - Mansour, Toufik

AU - Seo, Jong Jin

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N2 - In this paper, we present linear differential equations for the generating functions of the Poisson-Charlier, actuarial, and Meixner polynomials. Also, we give an application for each case.

AB - In this paper, we present linear differential equations for the generating functions of the Poisson-Charlier, actuarial, and Meixner polynomials. Also, we give an application for each case.

KW - Meixner polynomials

KW - Poisson-Charlier polynomials

KW - actuarial polynomials

UR - https://www.scopus.com/pages/publications/84961588370

U2 - 10.1186/s13660-016-1038-8

DO - 10.1186/s13660-016-1038-8

M3 - Article

AN - SCOPUS:84961588370

SN - 1025-5834

VL - 2016

JO - Journal of Inequalities and Applications

JF - Journal of Inequalities and Applications

IS - 1

M1 - 95

ER -

Linear differential equations for families of polynomials

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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