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

University of Haifa

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	American 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

Keywords

Meixner polynomials
Poisson-Charlier polynomials
actuarial polynomials

All Science Journal Classification (ASJC) codes

Analysis
Discrete Mathematics and Combinatorics
Applied Mathematics

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10.1186/s13660-016-1038-8

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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}",

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AU - Kim, Taekyun

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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

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KW - actuarial polynomials

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DO - 10.1186/s13660-016-1038-8

M3 - Article

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JO - Journal of Inequalities and Applications

JF - Journal of Inequalities and Applications

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Linear differential equations for families of polynomials

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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