Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: univalence

Sortuj według:

Ogranicz wyniki do:

Artykuł dostępny w postaci pełnego tekstu - kliknij by otworzyć plik

Kaplan classes of a certain family of functions

100%

Ignaciuk S., Parol M.

Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica

2020

tom 74

nr 2

We give the complete characterization of members of Kaplan classes of products of power functions with all zeros symmetrically distributed in \(\mathbb{T} := \{z \in\mathbb{C} : |z| = 1\}\) and weakly monotonic sequence of powers. In this way we extend Sheil-Small’s theorem. We apply the obtained result to study univalence of antiderivative of these products of power functions.

An extension of typically-real functions and associated orthogonal polynomials

75%

Naraniecka I., Szynal J., Tatarczak A.

Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica

2011

tom 65

nr 2

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.

Ograniczanie wyników

2 Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica

1 Ignaciuk S.

1 Naraniecka I.

1 Parol M.

1 Szynal J.

1 Tatarczak A.

1 2020

1 2011

Wyniki wyszukiwania

Kaplan classes of a certain family of functions

An extension of typically-real functions and associated orthogonal polynomials