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Journals / Turkish Journal of Mathematics / 2019 / Cilt: 43 - Sayı: 3

A new general subclass of analytic bi-univalent functions

Serap BULUT
Pages
1330–1338
Publication Date
2022-11-04
DOI
—
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AI Summary & Key Takeaways

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

For this purpose, we define a general subclass of bi-univalent functions.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In a very recent work, Şeker [Seker B.
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Key Findings & Data:Turkish Journal of Mathematics 2018; 42: 2891–2896] defined two subclasses of analytic bi-univalentfunctions by means of Sălăgean differential operator and he obtained the initial Taylor–Maclaurin coefficient estimatesfor functions belonging to these classes.
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Conclusion & Impact:For this purpose, we define a general subclass of bi-univalent functions.
🔬Design:Research Article
📍Scope:2018 Verileri
⚙️Variables:Domain Parameters

Abstract

In a very recent work, Şeker [Seker B. On a new subclass of bi-univalent functions defined by usingSalagean operator. Turkish Journal of Mathematics 2018; 42: 2891–2896] defined two subclasses of analytic bi-univalentfunctions by means of Sălăgean differential operator and he obtained the initial Taylor–Maclaurin coefficient estimatesfor functions belonging to these classes. The main purpose of this paper is to improve the results obtained by Şeker inthe aforementioned study. For this purpose, we define a general subclass of bi-univalent functions.

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Cite This Article

BULUT, S. (2022). A new general subclass of analytic bi-univalent functions. Turkish Journal of Mathematics, Cilt: 43 - Sayı: 3, 1330–1338. https://ajindex.com/articles/607934

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References (6)

  1. Brannan DA, Taha TS. On some classes of bi-univalent functions. Studia Univ Babeş-Bolyai Math 1986; 31: 70-77
  2. Duren PL. Univalent Functions. Grundlehren der Mathematischen Wissenschaften, vol
  3. New York, NY, USA: Springer, 1983
  4. Lewin M. On a coefficient problem for bi-univalent functions. Proceedings of the American Mathematical Society 1967; 18: 63-68
  5. Sălăgean GŞ. Subclasses of univalent functions. In: Complex Analysis-Fifth Romanian-Finnish seminar, Part 1 (Bucharest, 1981), Lecture Notes in Mathematics, vol. 1013 Berlin, Germany: Springer, 1983, pp. 362-372
  6. Şeker B. On a new subclass of bi-univalent functions defined by using Salagean operator. Turkish Journal of Mathematics 2018; 42: 2891-2896.