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

Analytic functions associated with cardioid domain

Sarfraz Nawaz MALIK
Mohsan RAZA
Janusz SOKOL
Saira ZAINAB
Sayfa
1127–1136
Yayın Tarihi
2022-11-05
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Analytic functions producing cardioid domain are defined and studied to some extent.The Fekete–Szegö inequality is also investigated for such analytic functions.

📌 3 Maddede Bu Makale

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

Abstract

In this article, we define and study new domain for analytic functions which is named as cardioid domainfor 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.

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Bu Makaleye Atıf Yap

MALIK, S. N., RAZA, M., SOKOL, J., ZAINAB, S. (2022). Analytic functions associated with cardioid domain. Turkish Journal of Mathematics, Cilt: 44 - Sayı: 4, 1127–1136. https://ajindex.com/articles/607568

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Kaynakça (13)

  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
  11. Paprocki E, Sokół J. The extremal problems in some subclass of strongly starlike functions. Folia Scientiarum Universitatis Technicae Resoviensis 1996; 157: 89-94
  12. Sokół J. On starlike functions connected with Fibonacci numbers. Folia scientiarum Universitatis Technicae Resoviensis 1999; 175: 111-116
  13. Zaprawa P. Third Hankel determinants for subclasses of univalent functions. Mediterranean Journal of Mathematics 2017; 14: Art. 19.