Explicit formulas for Meixner polynomials
type: Item
instance of: scholarly article
title: Explicit formulas for Meixner polynomials
zbMATH Open document ID: 1441.05018
DOI: 10.1155/2015/620569
author: Dmitry V. Kruchinin
author: Yuriy V. Shablya
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2018-05-25T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 05A15
Mathematics Subject Classification ID: 11B83
zbMATH DE Number: 6873263
zbMATH Keywords: generating functions
Wikidata QID: Q59109851
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/620569
OpenAlex ID: W1920695645
cites work: Q5725805
cites work: Q3319049
cites work: Q3021451
cites work: A new generating function of (\(q\)-) Bernstein-type polynomials and their interpolation function
cites work: A unified presentation of the generating functions of the generalized Bernoulli, Euler and Genocchi polynomials
cites work: Q4648913
cites work: Complete sum of products of (h,q)-extension of Euler polynomials and numbers
cites work: Sums of products of Apostol-Bernoulli and Apostol-Euler polynomials
cites work: Novel identities involving Genocchi numbers and polynomials arising from applications of umbral calculus
cites work: Explicit formulas for the Nörlund polynomials \(B_n^{(x)}\) and \(b_n^{(x )}\)
cites work: An explicit formula for the generalized Bernoulli polynomials
cites work: An explicit formula for generalized potential polynomials and its applications
cites work: Derivative Polynomials for tanh, tan, sech and sec in Explicit Form
cites work: Application of a composition of generating functions for obtaining explicit formulas of polynomials
cites work: Explicit formula for the generalized Mott polynomials
cites work: Q5150513
cites work: A New Class of Orthogonal Polynomials: The Bessel Polynomials
cites work: A note on the Bessel polynomials
cites work: Q3320678
cites work: Meixner polynomials of the second kind and quantum algebras representing su(1, 1)
cites work: Q4170993
DBLP publication ID: journals/ijmmsc/KruchininS15
description: scientific article; zbMATH DE number 6873263