Research Article

A new approach to the bi-univalent analytic functions connected with q-analogue of Noor integral operator

Volume: 70 Number: 2 December 31, 2021
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

  1. 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.
  2. 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
  3. 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
  4. 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
  5. Bulut, S.,Coefficient estimates for a class of analytic and bi-univalent functions, Novi Sad J. Math. 43(2) (2013), 59-65.
  6. Duren, P. L., Univalent Functions, vol. 259 of Grundlehren der Mathematischen Wissenschaften, Springer, New York, NY, USA, 1983.
  7. 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.
  8. 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

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

Cited By

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

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