Explicit Formulas for Meixner Polynomials

Explicit Formulas for Meixner Polynomials

Using notions of composita and composition of generating functions, we show an easy way to obtain explicit formulas for some current polynomials. Particularly, we consider the Meixner polynomials of the first and second kinds.

Bibliographic Details
Main Authors: Dmitry V. Kruchinin, Yuriy V. Shablya
Format: Article
Language:English
Published: Hindawi Limited 2015-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2015/620569
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spelling doaj-6313296a13da41f4a80c0630b2bdcb9e2020-11-24T22:26:24ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252015-01-01201510.1155/2015/620569620569Explicit Formulas for Meixner PolynomialsDmitry V. Kruchinin0Yuriy V. Shablya1Tomsk State University of Control Systems and Radioelectronics, 40 Lenina Avenue, Tomsk 634050, RussiaTomsk State University of Control Systems and Radioelectronics, 40 Lenina Avenue, Tomsk 634050, RussiaUsing notions of composita and composition of generating functions, we show an easy way to obtain explicit formulas for some current polynomials. Particularly, we consider the Meixner polynomials of the first and second kinds.http://dx.doi.org/10.1155/2015/620569
collection DOAJ
language English
format Article
sources DOAJ
author Dmitry V. Kruchinin
Yuriy V. Shablya
spellingShingle Dmitry V. Kruchinin
Yuriy V. Shablya
Explicit Formulas for Meixner Polynomials
International Journal of Mathematics and Mathematical Sciences
author_facet Dmitry V. Kruchinin
Yuriy V. Shablya
author_sort Dmitry V. Kruchinin
title Explicit Formulas for Meixner Polynomials
title_short Explicit Formulas for Meixner Polynomials
title_full Explicit Formulas for Meixner Polynomials
title_fullStr Explicit Formulas for Meixner Polynomials
title_full_unstemmed Explicit Formulas for Meixner Polynomials
title_sort explicit formulas for meixner polynomials
publisher Hindawi Limited
series International Journal of Mathematics and Mathematical Sciences
issn 0161-1712
1687-0425
publishDate 2015-01-01
description Using notions of composita and composition of generating functions, we show an easy way to obtain explicit formulas for some current polynomials. Particularly, we consider the Meixner polynomials of the first and second kinds.
url http://dx.doi.org/10.1155/2015/620569
work_keys_str_mv AT dmitryvkruchinin explicitformulasformeixnerpolynomials
AT yuriyvshablya explicitformulasformeixnerpolynomials
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