Author(s)

Do Tan Si^1,2,3

¹Physical Association, Ho Chi Minh City, Vietnam.
²ULB, Bruxelles, Belgium.
³UEM, Mons, Belgium.

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.

Chebyshev Polynomials, Lucas Symbolic Formula, Generating Functions by Operator Calculus

Si, D. (2021) Lucas Symbolic Formulae and Generating Functions for Chebyshev Polynomials. Journal of High Energy Physics, Gravitation and Cosmology, 7, 914-924. doi: 10.4236/jhepgc.2021.73052.