Minimal polynomials of some beta-numbers and Chebyshev polynomials

DoYong Kwon

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Displaying similar documents to “Minimal polynomials of some beta-numbers and Chebyshev polynomials”

Representing derivatives of Chebyshev polynomials by Chebyshev polynomials and related questions

Helmut Prodinger (2017)

Open Mathematics

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A recursion formula for derivatives of Chebyshev polynomials is replaced by an explicit formula. Similar formulae are derived for scaled Fibonacci numbers.

Generalizations of the classical Chebyshev polynomials to polynomials in two variables

Ken B. Dunn, Rudolf Lidl (1982)

Czechoslovak Mathematical Journal

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An extension of typically-real functions and associated orthogonal polynomials

Iwona Naraniecka, Jan Szynal, Anna Tatarczak (2011)

Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica

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Two-parameters extension of the family of typically-real functions is studied. The definition is obtained by the Stjeltjes integral formula. The kernel function in this definition serves as a generating function for some family of orthogonal polynomials generalizing Chebyshev polynomials of the second kind. The results of this paper concern the exact region of local univalence, bounds for the radius of univalence, the coefficient problems within the considered family as well as the basic...