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

Dae San Kim, Dmitry V. Dolgy, Dojin Kim and Taekyun Kim
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Dae San Kim: Department of Mathematics, Sogang University, Seoul 04107, Korea
Dmitry V. Dolgy: Kwangwoon Institute for Advanced Studies, Kwangwoon University, Seoul 01897, Korea
Dojin Kim: Department of Mathematics, Pusan National University, Busan 46241, Korea
Taekyun Kim: Department of Mathematics, Kwangwoon University, Seoul 01897, Korea

Mathematics, 2019, vol. 7, issue 4, 1-16

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.

Keywords: fubini polynomials; orthogonal polynomials; Chebyshev polynomials; Hermite polynomials; extended laguerre polynomials; Legendre polynomials; Gegenbauer polynomials; Jabcobi polynomials (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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