New sets of orthogonal functions, derived from the first and second kind Chebyshev polynomials, considering half-integer indexes, have been recently introduced. In this article several properties of these new sets are considered and the links with the classical Chebyshev polynomials are underlined.
"Some properties of the pseudo-Chebyshev polynomials of half-integer degree." Tbilisi Math. J. 12 (4) 111 - 121, October 2019. https://doi.org/10.32513/tbilisi/1578020571