Abstract
In this paper, some new families of orthogonal functions in two variables produced by using Fourier transform of bivariate orthogonal polynomials and their orthogonality relations obtained from Parseval identity are introduced.
Publisher
Turkish Journal of Mathematics and Computer Science, Association of Mathematicians
Reference26 articles.
1. Agahanov, S.A., A method of constructing orthogonal polynomials of two variables for a certain class of weight functions, Vestnik Leningrad Univ., 20(1965), 5–10.
2. Aktaş, R., Altın, A., Taşdelen, F., A note on a family of two-variable polynomials, Journal of Computational and Applied Mathematics, 235(16)(2011), 4825–4833.
3. Aktaş, R., A note on parameter derivatives of the Jacobi polynomials on the triangle, Appl. Math. Comp., 247(2014), 368–372 .
4. Aktaş, R., On parameter derivatives of a family of polynomials in two variables, Applied Mathematics and Computation, 256(2015), 769–777.
5. Aktaş, A., Area, I., Güldoğan, E., A new family of orthogonal polynomials in three variables, Journal of Inequalities and Applications, 2020(1)(2020), 170.