Next Article in Journal
Remarks on the Generalized Fractional Laplacian Operator
Next Article in Special Issue
The General Least Square Deviation OWA Operator Problem
Previous Article in Journal
Cooperative Co-Evolution Algorithm with an MRF-Based Decomposition Strategy for Stochastic Flexible Job Shop Scheduling
Previous Article in Special Issue
On the (p, q)–Chebyshev Polynomials and Related Polynomials
Article Menu
Issue 4 (April) cover image

Export Article

Open AccessArticle

Representing by Orthogonal Polynomials for Sums of Finite Products of Fubini Polynomials

1
Department of Mathematics, Sogang University, Seoul 04107, Korea
2
Kwangwoon Institute for Advanced Studies, Kwangwoon University, Seoul 01897, Korea
3
Department of Mathematics, Pusan National University, Busan 46241, Korea
4
Department of Mathematics, Kwangwoon University, Seoul 01897, Korea
*
Author to whom correspondence should be addressed.
Mathematics 2019, 7(4), 319; https://doi.org/10.3390/math7040319
Received: 12 March 2019 / Revised: 25 March 2019 / Accepted: 27 March 2019 / Published: 29 March 2019
(This article belongs to the Special Issue Special Polynomials)
  |  
PDF [771 KB, uploaded 29 March 2019]

Abstract

In the classical connection problem, it is dealt with determining the coefficients in the expansion of the product of two polynomials with regard to any given sequence of polynomials. As a generalization of this problem, we will consider sums of finite products of Fubini polynomials and represent these in terms of orthogonal polynomials. Here, the involved orthogonal polynomials are Chebyshev polynomials of the first, second, third and fourth kinds, and Hermite, extended Laguerre, Legendre, Gegenbauer, and Jabcobi polynomials. These representations are obtained by explicit computations. View Full-Text
Keywords: fubini polynomials; orthogonal polynomials; Chebyshev polynomials; Hermite polynomials; extended laguerre polynomials; Legendre polynomials; Gegenbauer polynomials; Jabcobi polynomials fubini polynomials; orthogonal polynomials; Chebyshev polynomials; Hermite polynomials; extended laguerre polynomials; Legendre polynomials; Gegenbauer polynomials; Jabcobi polynomials
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
SciFeed

Share & Cite This Article

MDPI and ACS Style

Kim, D.S.; Dolgy, D.V.; Kim, D.; Kim, T. Representing by Orthogonal Polynomials for Sums of Finite Products of Fubini Polynomials. Mathematics 2019, 7, 319.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Related Articles

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Mathematics EISSN 2227-7390 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top