EN
A new approach to the bi-univalent analytic functions connected with q-analogue of Noor integral operator
Abstract
Recently, q-analogue of Noor integral operator and other special operators became importance in the field of Geometric Function Theory. In this study, by connecting this operators and the principle of subordination we introduced an interesting class of bi-univalent functions and obtained coefficient estimates for this new class.
Keywords
References
- Akgül, A., Sakar, F. M., A certain subclass of bi-univalent analytic functions introduced by means of the q-analogue of Noor integral operator and Horadam polynomials, Turkish Journalof Mathematics, 43(5) (2019), 2275-2286. https://doi.org/10.3906/mat-1905-17.
- Aldweby, H., Darus, M., A subclass of harmonic univalent functions associated with q-analogue of Dziok-Srivastava operator, ISRN Mathematical Analysis, 2013 (2013), Article ID 382312, 6 pages. https://doi.org/10.1155/2013/382312
- Altınkaya, Ş., Inclusion properties of Lucas polynomials for bi-univalent functions introduced through the q-analogue of Noor integral operator, Turkish Journal of Mathematics. 43(2) (2019), 620-629. doi:10.3906/mat-1805-86, https://doi.10.3906/mat-1805-86
- Arif, M., Ul Haq M, Liu J-L., Subfamily of univalent functions associated with q-analogue of Noor integral operator, J Funct Spaces 2018 (2018), 1-5. https://doi.org/10.1155/2018/3818915
- Bulut, S.,Coefficient estimates for a class of analytic and bi-univalent functions, Novi Sad J. Math. 43(2) (2013), 59-65.
- Duren, P. L., Univalent Functions, vol. 259 of Grundlehren der Mathematischen Wissenschaften, Springer, New York, NY, USA, 1983.
- Brannan, D. A., Taha, T. S., On some classes of bi-univalent functions, in Mathematical Analysis and Its Applications, S. M. Mazhar, A. Hamoui, and N. S. Faour, Eds., vol. 3 of KFAS Proceedings Series, pp. 53-60, Pergamon Press, Elsevier Science, Oxford, UK, 1988.
- Brannan, D. A., Taha, T. S., On some classes of bi-univalent functions, Studia Universitatis Babeş-Bolyai Mathematica, 31(2) (1986), 70-77.
Details
Primary Language
English
Subjects
Mathematical Sciences , Applied Mathematics
Journal Section
Research Article
Authors
Arzu Akgül
*
0000-0001-7934-0339
Türkiye
Publication Date
December 31, 2021
Submission Date
December 25, 2020
Acceptance Date
April 25, 2021
Published in Issue
Year 1970 Volume: 70 Number: 2
APA
Akgül, A. (2021). A new approach to the bi-univalent analytic functions connected with q-analogue of Noor integral operator. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 70(2), 940-949. https://doi.org/10.31801/cfsuasmas.846485
AMA
1.Akgül A. A new approach to the bi-univalent analytic functions connected with q-analogue of Noor integral operator. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2021;70(2):940-949. doi:10.31801/cfsuasmas.846485
Chicago
Akgül, Arzu. 2021. “A New Approach to the Bi-Univalent Analytic Functions Connected With Q-Analogue of Noor Integral Operator”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 70 (2): 940-49. https://doi.org/10.31801/cfsuasmas.846485.
EndNote
Akgül A (December 1, 2021) A new approach to the bi-univalent analytic functions connected with q-analogue of Noor integral operator. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 70 2 940–949.
IEEE
[1]A. Akgül, “A new approach to the bi-univalent analytic functions connected with q-analogue of Noor integral operator”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 70, no. 2, pp. 940–949, Dec. 2021, doi: 10.31801/cfsuasmas.846485.
ISNAD
Akgül, Arzu. “A New Approach to the Bi-Univalent Analytic Functions Connected With Q-Analogue of Noor Integral Operator”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 70/2 (December 1, 2021): 940-949. https://doi.org/10.31801/cfsuasmas.846485.
JAMA
1.Akgül A. A new approach to the bi-univalent analytic functions connected with q-analogue of Noor integral operator. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2021;70:940–949.
MLA
Akgül, Arzu. “A New Approach to the Bi-Univalent Analytic Functions Connected With Q-Analogue of Noor Integral Operator”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 70, no. 2, Dec. 2021, pp. 940-9, doi:10.31801/cfsuasmas.846485.
Vancouver
1.Arzu Akgül. A new approach to the bi-univalent analytic functions connected with q-analogue of Noor integral operator. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2021 Dec. 1;70(2):940-9. doi:10.31801/cfsuasmas.846485
