Univalence criteria of the certain integral operators

Nizami Mustafa; Semra Korkmaz

doi:10.31801/cfsuasmas.733684

Research Article

Year 2021, Volume: 70 Issue: 1, 216 - 228, 30.06.2021

Nizami Mustafa , Semra Korkmaz

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

Abstract

References

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 Beckers 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

Year 2021, Volume: 70 Issue: 1, 216 - 228, 30.06.2021

Nizami Mustafa , Semra Korkmaz

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

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

Univalent function, , Wright function, , Becker's univalence criteria

References

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 Beckers 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.

There are 13 citations in total.

Details

Primary Language	English
Subjects	Applied Mathematics
Journal Section	Research Articles
Authors	Nizami Mustafa 0000-0002-2758-0274 Semra Korkmaz 0000-0002-7846-9779
Publication Date	June 30, 2021
Submission Date	June 17, 2020
Acceptance Date	December 18, 2020
Published in Issue	Year 2021 Volume: 70 Issue: 1

Cite

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. June 2021;70(1):216-228. doi:10.31801/cfsuasmas.733684
Chicago	Mustafa, Nizami, and Semra Korkmaz. “Univalence Criteria of the Certain Integral Operators”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 70, no. 1 (June 2021): 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	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, 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 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 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, 2021, pp. 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.