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- Title
A New Class of Higher-Order Hypergeometric Bernoulli Polynomials Associated with Lagrange–Hermite Polynomials.
- Authors
Muhiuddin, Ghulam; Khan, Waseem Ahmad; Duran, Ugur; Al-Kadi, Deena; Popa, Dorian
- Abstract
The purpose of this paper is to construct a unified generating function involving the families of the higher-order hypergeometric Bernoulli polynomials and Lagrange–Hermite polynomials. Using the generating function and their functional equations, we investigate some properties of these polynomials. Moreover, we derive several connected formulas and relations including the Miller–Lee polynomials, the Laguerre polynomials, and the Lagrange Hermite–Miller–Lee polynomials.
- Subjects
JACOBI polynomials; BERNOULLI polynomials; POLYNOMIALS; LAGUERRE polynomials; GENERATING functions
- Publication
Symmetry (20738994), 2021, Vol 13, Issue 4, p648
- ISSN
2073-8994
- Publication type
Article
- DOI
10.3390/sym13040648