Orthogonal Polynomials for the Oscillatory-gegenbauer Weight

Gradimir V. Milovanović; Aleksandar S. Cvetković; Zvezdan M. Marjanović

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Orthogonal polynomials related to the oscillatory-chebyshev weight function

G. V. Milovanović, A. S. Cvetković (2005)

Bulletin, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiques

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Special Classes of Orthogonal Polynomials and Corresponding Quadratures of Gaussian Type

Milovanovic, Gradimir V., Cvetkovic, Aleksandar S. (2012)

Mathematica Balkanica New Series

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MSC 2010: 33C47, 42C05, 41A55, 65D30, 65D32 In the first part of this survey paper we present a short account on some important properties of orthogonal polynomials on the real line, including computational methods for constructing coefficients in the fundamental three-term recurrence relation for orthogonal polynomials, and mention some basic facts on Gaussian quadrature rules. In the second part we discuss our Mathematica package Orthogonal Polynomials (see [2]) and show...