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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2020 / Cilt: 49 - Sayı: 1

Subclasses of starlike functions related toBlaschke products

Adam LECKO
Barbara SMİAROWSKA
Sayfa
30–44
Yayın Tarihi
2022-10-18
DOI
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Bounds ofthe classical coefficient functionals are also computed.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper we examine subclasses of the class of starlike functions defined by the setof zeros of Schwarz functions.
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Temel Bulgular & Veri:Distortion and the growth theorems are shown.
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Sonuç & Katkı:Bounds ofthe classical coefficient functionals are also computed.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

In this paper we examine subclasses of the class of starlike functions defined by the setof zeros of Schwarz functions. Distortion and the growth theorems are shown. Bounds ofthe classical coefficient functionals are also computed.

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Bu Makaleye Atıf Yap

LECKO, A., SMİAROWSKA, B. (2022). Subclasses of starlike functions related toBlaschke products. Hacettepe Journal of Mathematics and Statistics, Cilt: 49 - Sayı: 1, 30–44. https://ajindex.com/articles/529552

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Kaynakça (2)

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  2. New York, London, 1970. [3]P.L. Duren,Univalent Functions, Springer Verlag, New York, 1983. [4]A.W. Goodman,Univalent Functions, Mariner, Tampa, Florida, 1983. [5]R.E. Greene and S.G. Kranz,Function Theory of One Complex Variable, AMS, Prov-idence, Rhode Island, 2006. [6]F.R. Keogh and E.P. Merkes,A coefficient inequality for certain classes of analyticfunctions, Proc. Amer. Math. Soc.20, 8–12, 1969. [7]J. Krzyż,Coefficient problem for non-vanishing functions, Ann. Polon. Math.20,314–316, 1968. [8]A. Lecko, and B. Śmiarowska,Classes of analytic functions related to Blaschke prod-ucts, Filomat,32(18), 6289-6309, 2018. [9]M.J. Martin, E.T. Sawyer, I. Uriarte-Tuero and D. Vukotić,The Krzyż conjecturerevised, Adv. Math.273, 716–745, 2015. [10]R.R. Nevanlinna,Über die konforme Abbildung von Sterngebieten, Översikt av FinskaVetens.-Soc. Förh., Avd. A,LXIII(6), 1–21, 1920–1921, [11]N. Samaris,A proof of Krzyż’s Conjecture for the Fifth Coefficient, Caomplex Vari-ables, Theory and Application,48(9), 753–766, 2003.