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

Subclasses of starlike functions related to Blaschke products

Adam LECKO
Barbara SMİAROWSKA
Sayfa
30–44
Yayın Tarihi
2020-02-06
DOI
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Bounds of the 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 set of zeros of Schwarz functions.
📊
Temel Bulgular & Veri:Distortion and the growth theorems are shown.
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Sonuç & Katkı:Bounds of the classical coefficient functionals are also computed.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Riesz Theorem · Schwarz functions · Carathéodory functions

Abstract

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

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Bu Makaleye Atıf Yap

LECKO, A., SMİAROWSKA, B. (2020). Subclasses of starlike functions related to Blaschke products. Hacettepe Journal of Mathematics and Statistics, Cilt: 49 - Sayı: 1, 30–44. https://ajindex.com/articles/669291

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Kaynakça (10)

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  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 conjecture revised, Adv. Math. 273, 716–745, 2015
  10. R.R. Nevanlinna, Über die konforme Abbildung von Sterngebieten, Översikt av Finska Vetens.-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.