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.

中文翻译：

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关于拟切比雪夫函数的正交性的注解

最近引入了一类新的伪切比雪夫函数，并详细分析了半整数度的控制微分方程、递推公式和正交性方面的相关分析性质。本文将以往的研究扩展到理性度的一般情况。特别是，它表明伪切比雪夫函数的正交性不再成立。