Some results on convex meromorphic functions

• Autorzy: Faruk Ucar , Yusuf Avci
• Języki publikacji: EN

Abstrakty

EN

In this paper, we define a function \(F : D\times D\times D\to \mathbb{C}\) in terms of \(f\) and show that Re\(F > 0\) for all \(\zeta,z,w \in D\) if and only if \(f\) belongs to the class of convex meromorphic functions.

Słowa kluczowe

EN

Univalent functions; convex meromorphic functions; starlike functions

• 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

Faruk Ucar

autor

Yusuf Avci

Bibliografia

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• Ohno, R., A study on concave functions in geometric function theory, Ph.D. thesis, Tohoku University, 2014.
• Ruscheweyh, St., Sheill-Small, T., Hadamard Products of schlicht functions and the Polya–Schoenberg conjecture, Comment. Math. Helv. 48 (1973), 119–135.
• Schober, G., Univalent Functions – Selected Topics, Springer-Verlag, New York–Berlin, 1975.
• Sheil-Small, T., On convex univalent functions, J. London Math. Soc. 2 (1) (1969), 483–492.
• Yulin, Z., Owa, S., Some remarks on a class of meromorphic starlike functions, Indian J. Pure Appl. Math. 21 (9) (1990), 833–840.

Identyfikatory

DOI

10.17951/a.2019.73.1.75-82