Neoteric formulas of the monic orthogonal Chebyshev polynomials of the sixth-kind involving moments and linearization formulas

Abstract The principal aim of the current article is to establish new formulas Chebyshev polynomials sixth-kind. Two different approaches are followed derive connection between these and some other orthogonal polynomials. coefficients expressed in terms terminating hypergeometric functions certain arguments; however, they can be reduced cases. New moment sixth-kind also established, virtue such formulas, linearization developed.