Tbilisi Mathematical Journal
- Tbilisi Math. J.
- Volume 12, Issue 4 (2019), 111-121.
Some properties of the pseudo-Chebyshev polynomials of half-integer degree
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.
Tbilisi Math. J., Volume 12, Issue 4 (2019), 111-121.
Received: 29 May 2019
Accepted: 20 October 2019
First available in Project Euclid: 3 January 2020
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Primary: 33C45: Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) [See also 42C05 for general orthogonal polynomials and functions]
Secondary: 33D45: Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) 42C05: Orthogonal functions and polynomials, general theory [See also 33C45, 33C50, 33D45] 42A20: Convergence and absolute convergence of Fourier and trigonometric series
Brandi, Primo; Ricci, Paolo Emilio. Some properties of the pseudo-Chebyshev polynomials of half-integer degree. Tbilisi Math. J. 12 (2019), no. 4, 111--121. doi:10.32513/tbilisi/1578020571. https://projecteuclid.org/euclid.tbilisi/1578020571