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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 51 Issue: 5

Geometric properties of normalized Rabotnov function

Sevtap Sümer Eker(DICLE UNIVERSITY)0000-0002-2573-0726
Sadettin Ece(DICLE UNIVERSITY)0000-0003-4936-3067
Sayfa
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Yayın Tarihi
2022-10-01
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

For this purpose, we determined sufficient conditions for univalency, close-to-convexity, convexity and starlikeness of the normalized Rabotnov functions in the open unit disk.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In the present paper, our aim is to study geometric properties of normalized Rabotnov functions.
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Temel Bulgular & Veri:In the present paper, our aim is to study geometric properties of normalized Rabotnov functions.
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Sonuç & Katkı:For this purpose, we determined sufficient conditions for univalency, close-to-convexity, convexity and starlikeness of the normalized Rabotnov functions in the open unit disk.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:close to convex · Rabotnov function · univalent

Abstract

In the present paper, our aim is to study geometric properties of normalized Rabotnov functions. For this purpose, we determined sufficient conditions for univalency, close-to-convexity, convexity and starlikeness of the normalized Rabotnov functions in the open unit disk.

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Bu Makaleye Atıf Yap

Eker, S. S., Ece, S. (2022). Geometric properties of normalized Rabotnov function. Hacettepe Journal of Mathematics and Statistics, Volume: 51 Issue: 5. https://doi.org/10.15672/hujms.980307

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Kaynakça (14)

  1. D. Bansal and J.K. Prajapat, Certain geometric properties of the Mittag-Leffler functions, Complex Var. Elliptic Equ. 61(3), 338350, 2016.
  2. D.Bansal, M.K. Soni and A. Soni, Certain geometric properties of the modified Dini function, Anal. Math. Phys. 9, 13831392, 2019.
  3. A. Baricz, Geometric properties of generalized Bessel functions, Publ. Math. Debrecen. 73(1-2), 155178, 2008.
  4. PL. Duren, Univalent Functions, Grundlehren der Mathematischen Wissenschaften, New York, NY, USA: Springer-Verlag, 1983.
  5. L. Fejér, Untersuchungen uber Potenzreihen mit mehrfach monotoner Koeffizientenfolge, Acta Litt. Sci. Szeged 8, 89-115, 1936.
  6. A.W. Goodman, Univalent Functions, New York, NY, USA: Mariner Publishing Company, 1983.
  7. T.H. MacGregor, The radius of univalence of certain analytic functions II, Proc. Amer. Math. Soc. 14, 521524, 1963.
  8. T.H. MacGregor, A class of univalent functions, Proc. Amer. Math. Soc., 15, 311317, 1964.
  9. S. Ozaki, On the theory of multivalent functions, Science Reports of the Tokyo Bunrika Daigaku, Section A, 2(40), 167-188, 1935.
  10. S. Ponnusamy and A. Baricz, Starlikeness and convexity of generalized Bessel functions, Integral Transform Spec. Funct. 21(9), 641653, 2010.
  11. J.K. Prajapat, Certain geometric properties of the Wright functions, Integral Transforms Spec. Funct. 26(3), 203212, 2015.
  12. Y. Rabotnov, Equilibrium of an Elastic Medium with After-Effect, Prikladnaya Matematika i Mekhanika, 12, 1948, 1, pp. 53-62 (in Russian), Reprinted: Fractional Calculus and Applied Analysis, 17, 3, pp. 684-696, 2014.
  13. D. Raducanu, Geometric properties of Mittag-Leffler functions, Models and Theories in Social Systems, Springer: Berlin, Germany, 403-415, 2019.
  14. S. Sümer Eker, S. Ece, Geometric Properties of the Miller-Ross Functions Iran. J. Sci. Technol. Trans. Sci., 2022.