Criteria of univalence for a certain integral operator

• Autorzy: Szymon Ignaciuk , Maciej Parol
• Języki publikacji: EN

Abstrakty

EN

In this article we consider the problem of univalence of a function introduced by Breaz and Ularu, improve some of their results and receive not only univalence conditions but also close-to-convex conditions for this function. To this aim, we used our method based on Kaplan classes.

Słowa kluczowe

EN

Univalence; integral operators; Kaplan classes

• Wydawca: Wydawnictwo Uniwersytetu Marii Curie-Skłodowskiej
• Czasopismo: Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
• Rocznik: 2019
• Tom: 73
• Numer: 1

Daty

wydano

2019

online

2019-12-19

Twórcy

autor

Szymon Ignaciuk

autor

Maciej Parol

Bibliografia

• Biernacki, M., Sur l’integrale des fonctions univalentes, Bull. Pol. Acad. Sci. 8 (1960), 29–34.
• Breaz, D., Ularu, N., Univalence criterion and convexity for an integral operator, Appl. Math. Letters 25 (3) (2012), 658–661.
• Causey, W. M., The univalence of an integral, Proc. Amer. Math. Soc. 3 (1971), 500–502.
• Godula, J., On univalence of a certain integral, Ann. Univ. Mariae Curie-Skłodowska Sect. A 33 (1979), 69–76.
• Ignaciuk, S., Parol, M., Kaplan classes and their applications in determining univalence of certain integral operators, 2018 (to appear).
• Krzyż, J., Lewandowski, Z., On the integral of univalent functions, Bull. Pol. Acad. Sci. 7 (1963), 447–448.
• Merkes, E. P., Wright, D. J., On the univalence of a certain integral, Proc. Amer. Math. Soc. 27 (1971), 97–100.
• Pfaltzgraf, J. A., Univalence of an integral, Proc. Amer. Math. Soc. 3 (1971), 500–502.
• Ruscheweyh, S., Convolutions in Geometric Function Theory, Seminaire de Math. Sup. 83, Presses de l’Universite de Montreal, 1982.

Identyfikatory

DOI

10.17951/a.2019.73.1.27-31