Dergiler / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2026 / Volume: 70 Issue: 1

Univalence criteria of the certain integral operators

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Yayın Tarihi
2021-06-30
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For this, we use the Becker's and generalized version of the well known Ahlfor's and Becker's univalence criteria.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper, we give some sufficient conditions for the univalence of some integral operators.
📊
Temel Bulgular & Veri:In this paper, we give some sufficient conditions for the univalence of some integral operators.
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Sonuç & Katkı:For this, we use the Becker's and generalized version of the well known Ahlfor's and Becker's univalence criteria.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Univalent function · Wright function · Becker's univalence criteria

Abstract

In this paper, we give some sufficient conditions for the univalence of some integral operators. For this, we use the Becker's and generalized version of the well known Ahlfor's and Becker's univalence criteria.

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Bu Makaleye Atıf Yap

Mustafa, N., Korkmaz, S. (2021). Univalence criteria of the certain integral operators. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 70 Issue: 1. https://doi.org/10.31801/cfsuasmas.733684

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Kaynakça (13)

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  3. Blezu, D., On univalence criteria, General Mathematics 14 (1) (2006), 87-93.
  4. Breaz, D., Breaz, N., Srivastava, H. M., An extension of the univalent condition for a family of integral oprator, Appl. Math. Lett., 22 (1) (2009), 41-44.
  5. Breaz, D., Günay, H. Ö., On the univalence criterion of a general integral operator, J. Inequal. Appl., (2008), Article ID 702715, 8 pages doi:10.1155/2008/702715.
  6. Mustafa, N., Univalence of certain integral operators involving normalized Wright functions, Commun. Fac. Sci. Univ. Ank. Ser. A 1 Math. Stat., 66 (1) (2017) 19-28.
  7. Mustafa, N., Yarcan, M., Univalence of certain integral operators involving produced Wright functions, Journal of Scientific and Engineering Research, 5 (5) (2018), 569-577.
  8. Pascu, N., An improvement of Becker’s univalence criterion, Proceedings of the Commemorative Session Simion Stoilow, Brasov, (1987), 43-98.
  9. Pescar, V., A new generalization of Ahlfor's and Becker's criterion of univalence, Bull. Math. Malaysian Soc. (Second Series), 19 (1996), 53-54.
  10. Pescar, V., Univalence of certain integral operators, Acta Univ. Apulensis Math. Inform., 12 (2006), 43-48.
  11. Prajapat, J. K., Certain geometric properties of normalized Bessel functions, Appl. Math. Lett., 24 (2011), 2133-2139.
  12. Prajapat, J. K., Certain geometric properties of the Wright function, Integral Transform and Special Functions, 26 (3) (2015), 203-212, http://x.doi.org/10.1080/10652469.2014.9833502.
  13. Wright, E. M., On the coe¢ cients of power series having exponential singularities, J. London Math. Soc., 8 (1933), 71-79.