Generalizations of the classical Chebyshev polynomials to polynomials in two variables
Ken B. Dunn, Rudolf Lidl (1982)
Czechoslovak Mathematical Journal
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Displaying similar documents to “A characterization of the four Chebyshev orthogonal families.”
Generalizations of the classical Chebyshev polynomials to polynomials in two variables
An inequality for Chebyshev connection coefficients.
Guyker, James (2006)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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The second-order self-associated orthogonal sequences.
Maroni, P., Tounsi, M.Ihsen (2004)
Journal of Applied Mathematics
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Some identities for Chebyshev polynomials.
Grabner, Peter J., Prodinger, Helmut (2002)
Portugaliae Mathematica. Nova Série
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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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Minimal polynomials of some beta-numbers and Chebyshev polynomials
DoYong Kwon (2007)
Acta Arithmetica
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Orthogonal -polynomials related to perturbed linear form.
Ghressi, Abdallah, Khériji, Lotfi (2007)
Applied Mathematics E-Notes [electronic only]
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Additional recursion relations, factorizations, and diophantine properties associated with the polynomials of the Askey scheme.
Bruschi, M., Calogero, F., Droghei, R. (2009)
Advances in Mathematical Physics
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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...
An extension of typically-real functions and associated orthogonal polynomials
Iwona Naraniecka, Jan Szynal, Anna Tatarczak (2011)
Annales UMCS, 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...
Turán inequalities for symmetric orthogonal polynomials.
Bustoz, Joaquin, Ismail, Mourad E.H. (1997)
International Journal of Mathematics and Mathematical Sciences
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A note on the spectra of tridiagonal matrices.
da Fonseca, C.M., Petronilho, J. (2004)
International Journal of Mathematics and Mathematical Sciences
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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.
On polynomials with simple trigonometric formulas.
Gregorac, R.J. (2004)
International Journal of Mathematics and Mathematical Sciences
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