Length problems for Bazilevič functions

• Autorzy: Nunokawa Mamoru , Sokół Janusz , Tang Huo

Identyfikatory

DOI

10.1515/dema-2019-0007

• Języki publikacji: EN

Abstrakty

EN

Let C(r) denote the curve which is image of the circle |z|=r<1 under the mapping f. Let L(r) be the length of C(r) and A(r) the area enclosed by the curve C(r). Furthermore M(r) = max|z|=r |f(z)|. We present some relations between these notions for Bazilevič functions.

Słowa kluczowe

EN

Bazilevič function; close-to-convex functions; starlike function; convex function

PL

funkcja Bazileviča; funkcja wypukła; funkcja gwiaździsta

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2019
• Tom: Vol. 52, nr 1
• Strony: 56--60
• Opis fizyczny: Bibliogr. 22 poz.

Twórcy

autor

Nunokawa Mamoru

• University of Gunma, Hoshikuki-cho 798-8, Chuou-Ward, Chiba, 260-0808, Japan

autor

Sokół Janusz

• University of Rzeszów, Faculty of Mathematics and Natural Sciences, ul. Prof. Pigonia1, 35-310 Rzeszów, Poland

autor

Tang Huo

• School of Mathematics and Statistics, Chifeng University, Chifeng 024000, Inner Mongolia, China

Bibliografia

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Uwagi

PL

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).