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Journals / TWMS (Turkic World Mathematical Society) Journal of Applied and Engineering Mathematics / 2018 / Cilt: 8 - Sayı: 2

GENERALIZED HANKEL DETERMINANT FOR A GENERAL SUBCLASS OF UNIVALENT FUNCTIONS

SİBEL YALÇIN TOKGÖZ
Şahsene ALTINKAYA
Shigeyoshi OWA
Pages
311–317
DOI
—
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AI Summary & Key Takeaways

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

Moreover, upper bounds are obtained for $a3 − µa2/2$ , where µ ∈ R.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Making use of the generalized Hankel determinant, in this work, we consider a general subclass of univalent functions.
📊
Key Findings & Data:Making use of the generalized Hankel determinant, in this work, we consider a general subclass of univalent functions.
💡
Conclusion & Impact:Moreover, upper bounds are obtained for $a3 − µa2/2$ , where µ ∈ R.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Özet

Making use of the generalized Hankel determinant, in this work, we consider a general subclass of univalent functions. Moreover, upper bounds are obtained for $a3 − µa2/2$ , where µ ∈ R.

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Cite This Article

TOKGÖZ, S. Y., ALTINKAYA, Ş., OWA, S. (2018). GENERALIZED HANKEL DETERMINANT FOR A GENERAL SUBCLASS OF UNIVALENT FUNCTIONS. TWMS (Turkic World Mathematical Society) Journal of Applied and Engineering Mathematics, Cilt: 8 - Sayı: 2, 311–317. https://ajindex.com/articles/327509

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References (9)

  1. Bucur, R., Andrei, L. and Breaz, D., (2015), Coefficient bounds and Fekete–Szeg¨o problem for a class of analytic functions defined by using a new differential operator, Appl. Math. Sci., 9, pp. 1355 -1368. Ding, S. S., Ling, Y.and Bao, G. J., (1995), Some properties of a class of analytic functions, J. Math. Anal. Appl., 195, pp. 71-81.
  2. Fekete, M. and Szeg¨o, G., (1933), Eine Bemerkung Uber Ungerade Schlichte Funktionen, J. Lond. ¨ Math. Soc., 2, pp. 85-89.
  3. El-Ashwah, R. and Kanas, S., (2015), Fekete-Szeg¨o inequalities for quasi-subordination functions classes of complex order, Kyungpook Math. J., 55, pp. 679-688.
  4. Kumar, S. S. and Kumar, V., (2014), On Fekete–Szeg¨o inequality for certain class of analytic functions, Acta Univ. Apulensis Math. Inform., 37, pp. 211-222.
  5. Kowalczyk, B. and Lecko, A., (2015), Fekete–Szeg¨o problem for a certain subclass of close-to-convex functions, Bull. Malays. Math. Sci. Soc., 3, pp. 1393-1410.
  6. Noonan, J. W. and Thomas, D. K., (1976), On the second Hankel determinant of areally mean p-valent functions, Trans. Amer. Math. Soc., 223, pp. 337–346.
  7. Noor, K. I., (1983), Hankel determinant problem for the class of functions with bounded boundary rotation, Rev. Roum. Math. Pures Et. Appl., 28, pp. 731-739.
  8. Hayami, T. and Owa, S., (2009), Hankel determinant for p-valently starlike and convex functions of order α, General Math., 17, pp. 29-44.
  9. Hayami, T. and Owa, S., (2010), Generalized Hankel determinant for certain classes, Int. Journal of Math. Analysis, 4, pp. 2473-2585.