Fourier Transform of Orthogonal Polynomials over the Triangle with Four Parameters
نویسندگان
چکیده
In this paper, some new families of orthogonal functions in two variables produced by using Fourier transform bivariate polynomials and their orthogonality relations obtained from Parseval identity are introduced.
منابع مشابه
Fourier Series of Orthogonal Polynomials
It follows from Bateman [4] page 213 after setting = 1 2 . It can also be found with slight modi cation in Bateman [5] page122. However we are not aware of any reference where explicit formulas for the Fourier coef cients for Gegenbauer, Jacobi, Laguerre and Hermite polynomials can be found. In this article we use known formulas for the connection coef cients relating an arbitrary orthogonal po...
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ژورنال
عنوان ژورنال: Turkish journal of mathematics & computer science
سال: 2022
ISSN: ['2148-1830']
DOI: https://doi.org/10.47000/tjmcs.1063098