Sampling Theorem Based Fourier–Legendre Transform

被引：1
|
作者：
Kuwata S. [1 ]
Kawaguchi K. [2 ]
机构：
[1] Graduate School of Information Sciences, Hiroshima City University, Asaminami-ku, 731-3194, Hiroshima
[2] Department of System Engineering, Hiroshima City University, Asaminami-ku, 731-3194, Hiroshima
来源：
International Journal of Applied and Computational Mathematics | 2020年 / 6卷 / 4期
关键词：
Addition theorem; Fourier–Legendre transform; Jacobi polynomial; Sampling theorem;
D O I：
10.1007/s40819-020-00844-z
中图分类号：
学科分类号：
摘要：
The product of any number of Legendre functions, under a restricted domain, can be expanded by the corresponding Legendre polynomials, with the coefficient being the sinc function. While an analogous expansion can be made for any number of Gengenbauer functions, it is not allowed for more than two Jacobi functions. To obtain such an expansion, the sampling theorem is of great availability. © 2020, Springer Nature India Private Limited.
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