KaydedilenlerDerginizi ekleyin

Dergiler / Turkish Journal of Mathematics / 2020 / Cilt: 44 - Sayı: 4

Analytic functions associated with cardioid domain

Sarfraz Nawaz MALIK
Mohsan RAZA
Janusz SOKOL
Saıra ZAINAB
Sayfa
1127–1136
Yayın Tarihi
2020-08-01
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)

The Fekete-Szegö inequality is also investigated for such analytic functions.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this article, we define and study new domain for analytic functions which is named as cardioid domain for being of cardioid structure.
📊
Temel Bulgular & Veri:Analytic functions producing cardioid domain are defined and studied to some extent.
💡
Sonuç & Katkı:The Fekete-Szegö inequality is also investigated for such analytic functions.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Analytic functions · shell-like curve · Fibonacci numbers

Abstract

In this article, we define and study new domain for analytic functions which is named as cardioid domain for being of cardioid structure. Analytic functions producing cardioid domain are defined and studied to some extent. The Fekete-Szegö inequality is also investigated for such analytic functions.

🔖

Bu Makaleye Atıf Yap

MALIK, S. N., RAZA, M., SOKOL, J., ZAINAB, S. (2020). Analytic functions associated with cardioid domain. Turkish Journal of Mathematics, Cilt: 44 - Sayı: 4, 1127–1136. https://ajindex.com/articles/185513

Kaynakça (12)

  1. Dziok J, Raina RK, Sokół J. Certain results for a class of convex functions related to shell-like curve connected with Fibonacci numbers. Computer and Mathematics with Applications 2011; 61: 2606-2613
  2. Dziok J, Raina RK, Sokół J. On a class of starlike functions related to a shell-like curve connected with Fibonacci numbers. Mathematical and Computer Modelling 2013; 57: 1203-1211
  3. Dziok J, Raina RK, Sokół J. On α−convex functions related to shell-like functions connected with Fibonacci numbers. Applied Mathematics and Computation 2011; 218: 996-1002
  4. Goodman AW. Univalent Functions, vols. I–II, Mariner Publishing Company, Tempa, Florida, USA, 1983
  5. Janowski W. Some extremal problems for certain families of analytic functions. Annales Polonici Mathematici 1973; 28: 297-326
  6. Kanas S, Wiśniowska A. Conic regions and k-uniform convexity. Journal of Computational and Applied Mathematics 1999; 105: 327-336
  7. Kanas S, Wiśniowska A. Conic domains and starlike functions. Revue Roumaine de Mathématiques Pures et Appliquées 2000; 45: 647-657
  8. Ma WC, Minda D. A unified treatment of some special classes of univalent functions. Proceeding of the Conference on Complex Analysis (Tianjin, 1992), Li Z, Ren F, Yang L, Zhang S (editors) Cambridge, MA, USA: Int. Press, 1994; 157-169
  9. Noor KI, Malik SN. On a new class of analytic functions associated with conic domain. Computer and Mathematics with Applications 2011; 62: 367-375 [10] Noor KI, Malik SN. On coefficient inequalities of functions associated with conic domains. Computer and Mathematics with Applications 2011; 62: 2209-2217
  10. Paprocki E, Sokół J. The extremal problems in some subclass of strongly starlike functions. Folia Scientiarum Universitatis Technicae Resoviensis 1996; 157: 89-94
  11. Sokół J. On starlike functions connected with Fibonacci numbers. Folia scientiarum Universitatis Technicae Resoviensis 1999; 175: 111-116
  12. Zaprawa P. Third Hankel determinants for subclasses of univalent functions. Mediterranean Journal of Mathematics 2017; 14: Art. 19.