期刊
SYMMETRY-BASEL
卷 12, 期 8, 页码 -出版社
MDPI
DOI: 10.3390/sym12081273
关键词
Grandi curves; pseudo-Chebyshev functions; recurrence relations; differential equations; orthogonality properties
A novel class of pseudo-Chebyshev functions has been recently introduced, and the relevant analytical properties in terms of governing differential equation, recurrence formulae, and orthogonality have been analyzed in detail for half-integer degrees. In this paper, the previous studies are extended to the general case of rational degree. In particular, it is shown that the orthogonality properties of the pseudo-Chebyshev functions do not hold any longer.
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