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Journals / Turkish Journal of Mathematics / 2019 / Cilt: 43 - Sayı: 5

Fekete–Szegö problem for a general subclass of analytic functions

Neslihan UYANIK
Pages
2568–2577
Publication Date
2022-11-03
DOI
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AI Summary & Key Takeaways

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

Various new special cases are considered.

📌 3 Key Takeaways

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Objective & Hypothesis:In this present investigation, we introduced a certain subclass of starlike and convex functions of complexorder b , using a linear multiplier differential operator $D_{gamma,mu}^m;f(z)$ For this class, the Fekete–Szegö problem is completelysolved.
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Key Findings & Data:In this present investigation, we introduced a certain subclass of starlike and convex functions of complexorder b , using a linear multiplier differential operator $D_{gamma,mu}^m;f(z)$ For this class, the Fekete–Szegö problem is completelysolved.
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Conclusion & Impact:Various new special cases are considered.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this present investigation, we introduced a certain subclass of starlike and convex functions of complexorder b , using a linear multiplier differential operator $D_{gamma,mu}^m;f(z)$ For this class, the Fekete–Szegö problem is completelysolved. Various new special cases are considered.

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Cite This Article

UYANIK, N. (2022). Fekete–Szegö problem for a general subclass of analytic functions. Turkish Journal of Mathematics, Cilt: 43 - Sayı: 5, 2568–2577. https://ajindex.com/articles/608048

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References (17)

  1. Abdel-Gawad HR, Thomas DK. The Fekete Szegö problem for strongly close-to-convex functions. Proceeding of the American Mathematical Society 1992; 114: 345-349
  2. Al-Oboudi FM. On univalent functions defined by a generalized Salagean operator. International Journal of Mathematics and Mathematical Sciences 2004; 27: 1429-1436
  3. Chonweerayoot A, Thomas DK, Upakarnitikaset W. On the Fekete Szegö theorem for close-to-convex functions. Publications de I’Institut Mathėmatique (Beograd) (N.S.) 1992; 66: 18-26
  4. Darus M, Thomas DK. On the Fekete Szegö theorem for close-to-convex functions. Mathematica Japonica 1996; 44: 507-511
  5. Darus M, Thomas DK. On the Fekete Szegö theorem for close-to-convex functions. Mathematica Japonica 1998; 47: 125-132
  6. Deniz E, Orhan H. The Fekete Szegö problem for a generalized subclass of analytic functions. Kyungpook Mathematical Journal 2010; 50: 37-47
  7. Fekete M, Szegö G. Eine Bemerkung über ungerade schlichte Funktionen. Journal of the London Mathematical Society 1933; 8: 85-89 (in German)
  8. Kanas S, Darwish HE. Fekete Szegö problem for starlike and convex functions of complex order. Applied Mathematics Letters 2010; 23 (7): 777-782
  9. Keogh FR, Merkes EP. A coefficient inequality for certain classes of analytic functions. Proceedings of the American Mathematical Society 1969; 20: 8-12
  10. Koepf W. On the Fekete Szegö problem for close-to-convex functions. Proceedings of the American Mathematical Society 1987; 101: 89-95
  11. London RR. Fekete Szegö inequalities for close-to-convex functions. Proceedings of the American Mathematical Society 1993; 117: 947-950
  12. Ma W, Minda D. A unified treatment of some special classes of univalent functions. In: Proceeding of Conference on Complex Analytic 1994; 157-169
  13. Nasr MA, Aouf MK. Starlike function of complex order. Journal of Natural Science Mathematics 1985; 25: 1-12
  14. Nasr MA, Aouf MK. On convex functions of complex order. Mansoura Science Bulletin 1982; 565-582
  15. Orhan H, Deniz E, Rãducanu D. The Fekete–Szegö problem for subclasses of analytic functions defined by a differential operator related to conic domains. Computer and Mathematics with Application 2010; 59: 283-295
  16. Orhan H, Rãducanu D. Fekete–Szegö problem for strongly starlike functions associated with generalized hypergeometric functions. Mathematical and Computer Modelling 2009; 50: 430-438
  17. Orhan H, Deniz E, Çağlar M. Fekete–Szegö problem for certain subclasses of ana