Orthogonality Properties of the Pseudo-Chebyshev Functions (Variations on a Chebyshev's Theme).

The third and fourth pseudo-Chebyshev irrational functions of half-integer degree are defined. Their definitions are connected to those of the first- and second-kind pseudo-Chebyshev functions. Their orthogonality properties are shown, with respect to classical weights. [ABSTRACT FROM AUTHOR]