Research Article

Univalence criteria of the certain integral operators

Volume: 70 Number: 1 June 30, 2021
EN

Univalence criteria of the certain integral operators

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.

Keywords

References

  1. Baricz, A., Frasin, A. B., Univalence of integral operators involving Bessel functions, Appl. Math. Lett., 23 (2010), 371-376.
  2. Becker, J., Löwnersche di¤erentialgleichung und quasikoform fortsetzbare schlichte funktionen, J. Reine Angw. Math., 255 (1972), 23-43 (in German).
  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.

Details

Primary Language

English

Subjects

Applied Mathematics

Journal Section

Research Article

Publication Date

June 30, 2021

Submission Date

June 17, 2020

Acceptance Date

December 18, 2020

Published in Issue

Year 1970 Volume: 70 Number: 1

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
1.Mustafa N, Korkmaz S. Univalence criteria of the certain integral operators. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2021;70(1):216-228. doi:10.31801/cfsuasmas.733684
Chicago
Mustafa, Nizami, and Semra Korkmaz. 2021. “Univalence Criteria of the Certain Integral Operators”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 70 (1): 216-28. https://doi.org/10.31801/cfsuasmas.733684.
EndNote
Mustafa N, Korkmaz S (June 1, 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
[1]N. Mustafa and S. Korkmaz, “Univalence criteria of the certain integral operators”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 70, no. 1, pp. 216–228, June 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 (June 1, 2021): 216-228. https://doi.org/10.31801/cfsuasmas.733684.
JAMA
1.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, and Semra Korkmaz. “Univalence Criteria of the Certain Integral Operators”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 70, no. 1, June 2021, pp. 216-28, doi:10.31801/cfsuasmas.733684.
Vancouver
1.Nizami Mustafa, Semra Korkmaz. Univalence criteria of the certain integral operators. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2021 Jun. 1;70(1):216-28. doi:10.31801/cfsuasmas.733684

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

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