A New Class of Higher-Order Hypergeometric Bernoulli Polynomials Associated with Lagrange-Hermite Polynomials
Citation
Muhiuddin, G., Khan, W.A., Duran, U., Al-Kadi, D. (2021). A new class of higher-order hypergeometric bernoulli polynomials associated with lagrange–hermite polynomials. Symmetry, 13 (4), art. no. 648. https://doi.org/10.3390/sym13040648Abstract
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.
