SavedAdd your journal

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

Subclasses of starlike functions related toBlaschke products

Adam LECKO
Barbara SMİAROWSKA
Pages
30–44
Publication Date
2022-10-18
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Bounds ofthe classical coefficient functionals are also computed.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper we examine subclasses of the class of starlike functions defined by the setof zeros of Schwarz functions.
📊
Key Findings & Data:Distortion and the growth theorems are shown.
💡
Conclusion & Impact:Bounds ofthe classical coefficient functionals are also computed.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

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.

🔖

Cite This Article

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

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (2)

  1. J.W. Alexander,Functions which map the interior of the unit circle upon simpleregions, Ann. Math.17, 12–22, 1915. [2]P.L. Duren,Theory ofHpSpaces, Academic Press,
  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.