TITLE:
Lucas Symbolic Formulae and Generating Functions for Chebyshev Polynomials
AUTHORS:
Do Tan Si
KEYWORDS:
Chebyshev Polynomials, Lucas Symbolic Formula, Generating Functions by Operator Calculus
JOURNAL NAME:
Journal of High Energy Physics, Gravitation and Cosmology,
Vol.7 No.3,
June
25,
2021
ABSTRACT: This work shows that each kind of Chebyshev polynomials may be calculated from a symbolic formula similar to the Lucas formula for Bernoulli polynomials. It exposes also a new approach for obtaining generating functions of them by operator calculus built from the derivative and the positional operators.