- Tytuł:
- An extension of typically-real functions and associated orthogonal polynomials
- Autorzy:
-
Naraniecka, Iwona
Szynal, Jan
Tatarczak, Anna - Powiązania:
- https://bibliotekanauki.pl/articles/747098.pdf
- Data publikacji:
- 2011
- Wydawca:
- Uniwersytet Marii Curie-Skłodowskiej. Wydawnictwo Uniwersytetu Marii Curie-Skłodowskiej
- Tematy:
-
Typically-real functions
univalent functions
local univalence
univalence
starlikeness
Chebyshev polynomials
orthogonal polynomials - Opis:
- 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 properties of obtained orthogonal polynomials.
- Źródło:
-
Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica; 2011, 65, 2
0365-1029
2083-7402 - Pojawia się w:
- Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
- Dostawca treści:
- Biblioteka Nauki
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