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Mathematics 2019, 7(2), 180; https://doi.org/10.3390/math7020180

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

Section of Mathematics, International Telematic University UNINETTUNO, Corso Vittorio Emanuele II, 39, 00186 Roma, Italy
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Received: 24 January 2019 / Revised: 10 February 2019 / Accepted: 12 February 2019 / Published: 15 February 2019
(This article belongs to the Special Issue Special Functions and Applications)
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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. View Full-Text
Keywords: Chebyshev polynomials; pseudo-Chebyshev polynomials; recurrence relations; orthogonality property Chebyshev polynomials; pseudo-Chebyshev polynomials; recurrence relations; orthogonality property
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Cesarano, C.; Ricci, P.E. Orthogonality Properties of the Pseudo-Chebyshev Functions (Variations on a Chebyshev’s Theme). Mathematics 2019, 7, 180.

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