Real functions as traces of Infinte polynomials.
Chris Impens (1989)
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Chris Impens (1989)
Mathematische Annalen
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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...
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...
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Publications de l'Institut Mathématique
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