Dergiler / Gazi University Journal of Science / 2019 / Cilt: 32 - Sayı: 2

Faber Polynomial Coefficient Estimates for Analytic Bi-Close-to-Convex Functions Defined by Subordination

Sayfa
637–647
Yayın Tarihi
2022-10-19
DOI
—
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Further, we generalize some of the previousoutcomes.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this work, the Faber polynomial expansions and a different method were employed toestimate the |𝑎𝑛| coefficients of a subclass of bi-close-to-convex functions, which is introducedby subordination concept in the open unit disk.
📊
Temel Bulgular & Veri:In this work, the Faber polynomial expansions and a different method were employed toestimate the |𝑎𝑛| coefficients of a subclass of bi-close-to-convex functions, which is introducedby subordination concept in the open unit disk.
💡
Sonuç & Katkı:Further, we generalize some of the previousoutcomes.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

In this work, the Faber polynomial expansions and a different method were employed toestimate the |𝑎𝑛| coefficients of a subclass of bi-close-to-convex functions, which is introducedby subordination concept in the open unit disk. Further, we generalize some of the previousoutcomes.

🔖

Bu Makaleye Atıf Yap

JAFARI, M., ZIREH, A., ADEGANI, E. A. (2022). Faber Polynomial Coefficient Estimates for Analytic Bi-Close-to-Convex Functions Defined by Subordination. Gazi University Journal of Science, Cilt: 32 - Sayı: 2, 637–647. https://ajindex.com/articles/521347

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (17)

  1. Duren, P.L., Univalent Functions, Springer-Verlag, New York, Berlin, (1983).
  2. Kaplan, W., “Close-to-convex schlicht functions”, Michigan Mathematical Journal, 1: 169-185, (1952).
  3. Ali, R.M., Lee, S.K., Ravichandran, V., Subramaniam, S., “Coefficient estimates for bi-univalent MaMinda starlike and convex functions”, Applied Mathematics Letters, 25: 344-351, (2012).
  4. Frasin, B.A., Aouf, M.K., “New subclasses of bi-univalent functions”, Applied Mathematics Letters, 24: 1569-1573, (2011).
  5. Lewin, M., “On a coefficient problem for bi-univalent functions”, Proceedings of the American Mathematical Society, 18: 63-68, (1967).
  6. Srivastava, H.M., Eker, S.S., Ali, R.M., “Coefficient bounds for a certain class of analytic and biunivalent functions, Filomat, 29: 1839-1845, (2015).
  7. Srivastava, H.M., Mishra, A.K., Gochhayat, P., “Certain subclasses of analytic and bi-univalent functions”, Applied Mathematics Letters, 23: 1188-1192, (2010).
  8. Zireh, A., Analouei Adegani, E., “Coefficient estimates for a subclass of analytic and bi-univalent functions”, Bulletin of the Iranian Mathematical Society, 42: 881-889, (2016).
  9. Faber, G., “Üpolynomische Entwickelungen”, Mathematische Annalen, 57: 389-408, (1903).
  10. Bulut, S., “Faber polynomial coefficient estimates for a comprehensive subclass of analytic biunivalent functions”, Comptes Rendus de l'Académie des Sciences, 352: 479-484, (2014).
  11. Hamidi, S.G., Jahangiri, J.M., “Faber polynomial coefficient estimates for analytic bi-close-to-convex functions”, Comptes Rendus de l'Académie des Sciences, 352: 17-20, (2014).
  12. Hamidi, S.G., Jahangiri, J.M., “Faber polynomial coefficients of bi-subordinate functions, Comptes Rendus de l'Académie des Sciences, 354: 365-370, (2016).
  13. Hamidi, S.G., Halim, S.A., Jahangiri, J.M., “Coefficient estimates for a class of meromorphic biunivalent functions, Comptes Rendus de l'Académie des Sciences, 351: 349-352, (2013).
  14. Zireh, A., Analouei Adegani, E., Bulut, S., “Faber polynomial coefficient estimates for a comprehensive subclass of analytic bi-univalent functions defined by subordination”, Bulletin of the Belgian Mathematical Society-Simon Stevin, 23: 487-504, (2016).
  15. Airault, H., Bouali, A., “Differential calculus on the Faber polynomials”, Bulletin des Sciences Mathématiques, 130: 179-222, (2006).
  16. Airault, H., Ren, J., “An algebra of differential operators and generating functions on the set of univalent functions”, Bulletin des Sciences Mathématiques, 126: 343-367, (2002).
  17. Airault, H., Bouali, A., “Differen