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

Clemente Cesarano and Paolo Emilio Ricci
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Clemente Cesarano: Section of Mathematics, International Telematic University UNINETTUNO, Corso Vittorio Emanuele II, 39, 00186 Roma, Italy
Paolo Emilio Ricci: Section of Mathematics, International Telematic University UNINETTUNO, Corso Vittorio Emanuele II, 39, 00186 Roma, Italy

Mathematics, 2019, vol. 7, issue 2, 1-11

Abstract: 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.

Keywords: Chebyshev polynomials; pseudo-Chebyshev polynomials; recurrence relations; orthogonality property (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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