COEFFICIENT BOUNDS FOR <i>Q</i>-STARLIKE FUNCTIONS ASSOCIATED WITH <i>Q</i>-BERNOULLI NUMBERS

Murat Çağlar; Halit Orhan; Hari Mohan Srivastava

doi:10.11948/20220566

2023 Volume 13 Issue 4

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Murat Çağlar, Halit Orhan, Hari Mohan Srivastava. COEFFICIENT BOUNDS FOR Q-STARLIKE FUNCTIONS ASSOCIATED WITH Q-BERNOULLI NUMBERS[J]. Journal of Applied Analysis & Computation, 2023, 13(4): 2354-2364. doi: 10.11948/20220566

Citation:

Murat Çağlar, Halit Orhan, Hari Mohan Srivastava. COEFFICIENT BOUNDS FOR Q-STARLIKE FUNCTIONS ASSOCIATED WITH Q-BERNOULLI NUMBERS[J]. Journal of Applied Analysis & Computation, 2023, 13(4): 2354-2364. doi: 10.11948/20220566

COEFFICIENT BOUNDS FOR Q-STARLIKE FUNCTIONS ASSOCIATED WITH Q-BERNOULLI NUMBERS

1.
Department of Mathematics, Faculty of Science, Erzurum Technical University, 25100, Erzurum, Turkiye
2.
Department of Mathematics, Faculty of Science, Atatŭrk University, 25240, Erzurum, Turkiye
3.
Department of Mathematics and Statistics, University of Victoria, Victoria, V8W 3R4, British Columbia, Canada
4.
Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan, Republic of China
5.
Department of Mathematics and Informatics, Azerbaijan University, 71 Jeyhun Hajibeyli Street, AZ1007 Baku, Azerbaijan
6.
Section of Mathematics, International Telematic University Uninettuno, I-00186 Rome, Italy

Author Bio: Email: horhan@atauni.edu.tr(H. Orhan); Email: harimsri@math.uvic.ca(H. M. Srivastava)
Corresponding author: Email: mcaglar25@gmail.com(M. Çağlar)

Abstract

Abstract

This paper's main goal is to introduce and study a subclass $ \mathcal{S} ^{\ast }(b,q) $ of $ q $-starlike functions in the unit disk defined by the $ q $-Bernoulli numbers. We determine the coefficient bounds, the upper bounds for the Fekete-Szegö functional, and the second Hankel determinant for this subclass.
- Analytic and univalent functions /
- q-derivative /
- q-starlike functions /
- q-Bernoulli numbers /
- Fekete-Szegö inequality /
- Hankel determinant
MSC: 30C45, 30C50, 30C80

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References

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