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Yıl 2021, Cilt: 70 Sayı: 1, 216 - 228, 30.06.2021

Nizami Mustafa Semra Korkmaz

https://doi.org/10.31801/cfsuasmas.733684

Öz

Kaynakça

  • Baricz, A., Frasin, A. B., Univalence of integral operators involving Bessel functions, Appl. Math. Lett., 23 (2010), 371-376.
  • Becker, J., Löwnersche di¤erentialgleichung und quasikoform fortsetzbare schlichte funktionen, J. Reine Angw. Math., 255 (1972), 23-43 (in German).
  • Blezu, D., On univalence criteria, General Mathematics 14 (1) (2006), 87-93.
  • 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.
  • 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.
  • 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.
  • Mustafa, N., Yarcan, M., Univalence of certain integral operators involving produced Wright functions, Journal of Scientific and Engineering Research, 5 (5) (2018), 569-577.
  • Pascu, N., An improvement of Becker’s univalence criterion, Proceedings of the Commemorative Session Simion Stoilow, Brasov, (1987), 43-98.
  • Pescar, V., A new generalization of Ahlfor's and Becker's criterion of univalence, Bull. Math. Malaysian Soc. (Second Series), 19 (1996), 53-54.
  • Pescar, V., Univalence of certain integral operators, Acta Univ. Apulensis Math. Inform., 12 (2006), 43-48.
  • Prajapat, J. K., Certain geometric properties of normalized Bessel functions, Appl. Math. Lett., 24 (2011), 2133-2139.
  • 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.
  • Wright, E. M., On the coe¢ cients of power series having exponential singularities, J. London Math. Soc., 8 (1933), 71-79.

Univalence criteria of the certain integral operators

Yıl 2021, Cilt: 70 Sayı: 1, 216 - 228, 30.06.2021

Nizami Mustafa Semra Korkmaz

https://doi.org/10.31801/cfsuasmas.733684

Öz

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.

Anahtar Kelimeler

Univalent function Wright function Becker's univalence criteria

Kaynakça

  • Baricz, A., Frasin, A. B., Univalence of integral operators involving Bessel functions, Appl. Math. Lett., 23 (2010), 371-376.
  • Becker, J., Löwnersche di¤erentialgleichung und quasikoform fortsetzbare schlichte funktionen, J. Reine Angw. Math., 255 (1972), 23-43 (in German).
  • Blezu, D., On univalence criteria, General Mathematics 14 (1) (2006), 87-93.
  • 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.
  • 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.
  • 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.
  • Mustafa, N., Yarcan, M., Univalence of certain integral operators involving produced Wright functions, Journal of Scientific and Engineering Research, 5 (5) (2018), 569-577.
  • Pascu, N., An improvement of Becker’s univalence criterion, Proceedings of the Commemorative Session Simion Stoilow, Brasov, (1987), 43-98.
  • Pescar, V., A new generalization of Ahlfor's and Becker's criterion of univalence, Bull. Math. Malaysian Soc. (Second Series), 19 (1996), 53-54.
  • Pescar, V., Univalence of certain integral operators, Acta Univ. Apulensis Math. Inform., 12 (2006), 43-48.
  • Prajapat, J. K., Certain geometric properties of normalized Bessel functions, Appl. Math. Lett., 24 (2011), 2133-2139.
  • 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.
  • Wright, E. M., On the coe¢ cients of power series having exponential singularities, J. London Math. Soc., 8 (1933), 71-79.
Toplam 13 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Uygulamalı Matematik
Bölüm Research Article
Yazarlar

Nizami Mustafa 0000-0002-2758-0274

Semra Korkmaz 0000-0002-7846-9779

Yayımlanma Tarihi 30 Haziran 2021
Gönderilme Tarihi 17 Haziran 2020
Kabul Tarihi 18 Aralık 2020
Yayımlandığı Sayı Yıl 2021 Cilt: 70 Sayı: 1

Kaynak Göster

APA Mustafa, N., & Korkmaz, S. (2021). Univalence criteria of the certain integral operators. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 70(1), 216-228. https://doi.org/10.31801/cfsuasmas.733684
AMA Mustafa N, Korkmaz S. Univalence criteria of the certain integral operators. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. Haziran 2021;70(1):216-228. doi:10.31801/cfsuasmas.733684
Chicago Mustafa, Nizami, ve Semra Korkmaz. “Univalence Criteria of the Certain Integral Operators”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 70, sy. 1 (Haziran 2021): 216-28. https://doi.org/10.31801/cfsuasmas.733684.
EndNote Mustafa N, Korkmaz S (01 Haziran 2021) Univalence criteria of the certain integral operators. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 70 1 216–228.
IEEE N. Mustafa ve S. Korkmaz, “Univalence criteria of the certain integral operators”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., c. 70, sy. 1, ss. 216–228, 2021, doi: 10.31801/cfsuasmas.733684.
ISNAD Mustafa, Nizami - Korkmaz, Semra. “Univalence Criteria of the Certain Integral Operators”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 70/1 (Haziran 2021), 216-228. https://doi.org/10.31801/cfsuasmas.733684.
JAMA Mustafa N, Korkmaz S. Univalence criteria of the certain integral operators. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2021;70:216–228.
MLA Mustafa, Nizami ve Semra Korkmaz. “Univalence Criteria of the Certain Integral Operators”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, c. 70, sy. 1, 2021, ss. 216-28, doi:10.31801/cfsuasmas.733684.
Vancouver Mustafa N, Korkmaz S. Univalence criteria of the certain integral operators. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2021;70(1):216-28.

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.

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