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Volume 07 Issue 02 February 2024

Coefficient Estimate for a Subclass of Close-to-Convex Functions with Respect To Symmetric and Conjugate Points Connected With the Q−Borel Distribution
1D. Nabil, 2A. Shahin, 3H. E. Darwish
1,2,3Department of Mathematics, Faculty of Science, Mansoura University, Egypt
DOI : https://doi.org/10.47191/ijmra/v7-i02-06

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KEYWORDS:

Analytic functions; Univalent functions; Coefficient estimates; Symmetric points; Conjugate points.

REFERENCES
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5) El-Deeb, S. M., Bulboacӑ, T. and Dziok, J. (2019), ‘Pascal distribution series connected with certain subclasses of univalent functions’, Kyungpook Mathematical Journal 59(2), 301–314.

6) El-Deeb, S., Murugusundaramoorthy, G. and Alburaikan, A. (2021), ‘BiBazilevic functions based on the Mittag-Leffler-type Borel distribution associated with Legendre polynomials’, J. Math. Comput. Sci 24, 235–245.

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10) Janowski, W. (1973), ‘Some extremal problems for certain families of analytic functions I’, 3(28), 297–326.

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12) Kaplan, W. (1952), ‘Close-to-convex schlicht functions.’, Michigan Mathematical Journal 1(2), 169–185.

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14) Murugusundaramoorthy, G. and El-Deeb, S. M. (2022), ‘Second Hankel determinant for a class of analytic functions of the Mittag-Leffler-type Borel distribution related with Legendre polynomials’, Soc. J. Appl. Engrg. Math.

15) Nazeer, W., Mehmood, Q., Kang, S. M. and Haq, A. U. (2019), ‘An application of Binomial distribution series on certain analytic functions’, J. Comput. Anal. Appl 26(1), 11–17.

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17) Porwal, S. and Kumar, M. (2016), ‘A unified study on starlike and convex functions associated with Poisson distribution series’, Afrika Matematika 27, 1021–1027.

18) Risha, M. A., Annaby, M., Mansour, Z. and Ismail, M. E. (2007), ‘Linear q-difference equations’, Zeitschrift für Analysis und ihre Anwendungen 26(4), 481–494.

19) Sakaguchi, K. (1959), ‘On a certain univalent mapping’, Journal of the Mathematical Society of Japan 11(1), 72–75.

20) Selvaraj, C. and Vasanthi, N. (2011), ‘Subclasses of analytic functions with respect to symmetric and conjugate points’, Tamkang Journal of Mathematics 42(1), 87–94.

21) Sokol, J. (1990), ‘Some remarks on the class of functions starlike with respect to symmetric points’, Folia Scient. Univ. Tech. Resoviensis 73, 79– 89.

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Volume 07 Issue 02 February 2024

There is an Open Access article, distributed under the term of the Creative Commons Attribution – Non Commercial 4.0 International (CC BY-NC 4.0) (https://creativecommons.org/licenses/by-nc/4.0/), which permits remixing, adapting and building upon the work for non-commercial use, provided the original work is properly cited.


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