Research Article

A subclass of univalent functions associated with $q$-analogue of Choi-Saigo-Srivastava operator

Volume: 49 Number: 4 August 6, 2020
EN

A subclass of univalent functions associated with $q$-analogue of Choi-Saigo-Srivastava operator

Abstract

The main objective of the present paper is to define a subclass $Q_{q}(\lambda,\mu,A,B)$ of analytic functions by using subordination along with the newly defined $q$-analogue of Choi-Saigo-Srivastava operator. Such results as coefficient estimates, integral representation, linear combination, weighted and arithmetic means, and radius of starlikeness for this class are derived.

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Keywords

References

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  3. [3] F.M. Al-Oboudi, On classes of functions related to starlike functions with respect to symmetric conjugate points defined by a fractional differential operator, Complex Anal. Oper. Theory, 5, 647–658, 2011.
  4. [4] F.M. Al-Oboudi and K.A. Al-Amoudi, On classes of analytic functions related to conic domains, J. Math. Anal. Appl. 399, 655–667, 2008.
  5. [5] G.A. Anastassiou and S.G. Gal, Geometric and approximation properties of generalized singular integrals in the unit disk, J. Korean Math. Soc. 23, 425–443, 2006.
  6. [6] A. Aral, On the generalized Picard and Gauss Weierstrass singular integrals, J. Comput. Anal. Appl. 8, 249–261, 2006.
  7. [7] A. Aral, On the generalized Picard and Gauss Weierstrass singular integrals, J. Comput. Anal. Appl. 8, 249–261, 2006.
  8. [8] A. Aral and V. Gupta, On q-Baskakov type operators, Demonstr. Math. 42, 109–122, 2009.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Tahir Bakhat This is me
Pakistan

Shahid Khan This is me
Pakistan

Publication Date

August 6, 2020

Submission Date

June 12, 2019

Acceptance Date

November 9, 2019

Published in Issue

Year 2020 Volume: 49 Number: 4

APA
Wang, Z.- gang, Hussain, S., Naeem, M., Bakhat, T., & Khan, S. (2020). A subclass of univalent functions associated with $q$-analogue of Choi-Saigo-Srivastava operator. Hacettepe Journal of Mathematics and Statistics, 49(4), 1471-1479. https://doi.org/10.15672/hujms.576878
AMA
1.Wang Z gang, Hussain S, Naeem M, Bakhat T, Khan S. A subclass of univalent functions associated with $q$-analogue of Choi-Saigo-Srivastava operator. Hacettepe Journal of Mathematics and Statistics. 2020;49(4):1471-1479. doi:10.15672/hujms.576878
Chicago
Wang, Zhi-gang, Saqib Hussain, Muhammad Naeem, Tahir Bakhat, and Shahid Khan. 2020. “A Subclass of Univalent Functions Associated With $q$-Analogue of Choi-Saigo-Srivastava Operator”. Hacettepe Journal of Mathematics and Statistics 49 (4): 1471-79. https://doi.org/10.15672/hujms.576878.
EndNote
Wang Z- gang, Hussain S, Naeem M, Bakhat T, Khan S (August 1, 2020) A subclass of univalent functions associated with $q$-analogue of Choi-Saigo-Srivastava operator. Hacettepe Journal of Mathematics and Statistics 49 4 1471–1479.
IEEE
[1]Z.- gang Wang, S. Hussain, M. Naeem, T. Bakhat, and S. Khan, “A subclass of univalent functions associated with $q$-analogue of Choi-Saigo-Srivastava operator”, Hacettepe Journal of Mathematics and Statistics, vol. 49, no. 4, pp. 1471–1479, Aug. 2020, doi: 10.15672/hujms.576878.
ISNAD
Wang, Zhi-gang - Hussain, Saqib - Naeem, Muhammad - Bakhat, Tahir - Khan, Shahid. “A Subclass of Univalent Functions Associated With $q$-Analogue of Choi-Saigo-Srivastava Operator”. Hacettepe Journal of Mathematics and Statistics 49/4 (August 1, 2020): 1471-1479. https://doi.org/10.15672/hujms.576878.
JAMA
1.Wang Z- gang, Hussain S, Naeem M, Bakhat T, Khan S. A subclass of univalent functions associated with $q$-analogue of Choi-Saigo-Srivastava operator. Hacettepe Journal of Mathematics and Statistics. 2020;49:1471–1479.
MLA
Wang, Zhi-gang, et al. “A Subclass of Univalent Functions Associated With $q$-Analogue of Choi-Saigo-Srivastava Operator”. Hacettepe Journal of Mathematics and Statistics, vol. 49, no. 4, Aug. 2020, pp. 1471-9, doi:10.15672/hujms.576878.
Vancouver
1.Zhi-gang Wang, Saqib Hussain, Muhammad Naeem, Tahir Bakhat, Shahid Khan. A subclass of univalent functions associated with $q$-analogue of Choi-Saigo-Srivastava operator. Hacettepe Journal of Mathematics and Statistics. 2020 Aug. 1;49(4):1471-9. doi:10.15672/hujms.576878

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