EN
(U, V )-Lucas polynomial coefficient relations of the bi-univalent function class
Abstract
In geometric function theory, Lucas polynomials and other special polynomials have recently gained importance. In this study, we develop a new family of bi-univalent functions. Also we examined coefficient inequalities and Fekete-Szegö problem for this new family via these polynomials.
Keywords
References
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- Akgül, A., Sakar, F. M., A new characterization of (P,Q)-Lucas polynomial coefficients of the bi-univalent function class associated with q-analogue of Noor integral operator, Afrika Matematika, 33(3) (2022), 1-12.
- Ali, R. M., Lee, S. K., Ravichandran V., Supramanian S., Coefficient estimates for biunivalent Ma-Minda starlike and convex functions, Appl. Math. Lett., 25(3) (2012), 344–351. https://doi.org/10.1016/j.aml.2011.09.012
- Altınkaya, Ş., Yalçın, S., On the (p, q)-Lucas polynomial coefficient bounds of the biunivalent function class σ, Boletin de la Sociedad Matem´atica Mexicana, 25 (2019), 567-575. https://doi.org/10.1007/s40590-018-0212-z
- Altınkaya, Ş., Yalçın, S., The (p, q)-Chebyshev polynomial bounds of a general bi-univalent function class, Boletin de la Sociedad Matem´atica Mexicana, 26 (2019), 341–348.
- Al-Shbeil, I., Shaba, T. G., Cataş, A., Second hankel determinant for the subclass of biunivalent functions using q-Chebyshev polynomial and Hohlov operator, Fractal and Fractional, 6(4) (2022), 186. https://doi.org/10.3390/fractalfract6040186
- Altinkaya, Ş., Yalçın, S., Some application of the (p, q)-Lucas polynomials to the bi-univalent function class Σ, Mathematical Sciences and Applications E-Notes, 8(1) (2020), 134–141. https://doi.org/10.36753/MATHENOT.650271
Details
Primary Language
English
Subjects
Mathematical Sciences
Journal Section
Research Article
Publication Date
December 30, 2022
Submission Date
March 12, 2022
Acceptance Date
June 8, 2022
Published in Issue
Year 1970 Volume: 71 Number: 4
APA
Akgül, A., & Shaba, T. (2022). (U, V )-Lucas polynomial coefficient relations of the bi-univalent function class. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 71(4), 1121-1135. https://doi.org/10.31801/cfsuasmas.1086809
AMA
1.Akgül A, Shaba T. (U, V )-Lucas polynomial coefficient relations of the bi-univalent function class. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2022;71(4):1121-1135. doi:10.31801/cfsuasmas.1086809
Chicago
Akgül, Arzu, and Timilehin Shaba. 2022. “(U, V )-Lucas Polynomial Coefficient Relations of the Bi-Univalent Function Class”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 71 (4): 1121-35. https://doi.org/10.31801/cfsuasmas.1086809.
EndNote
Akgül A, Shaba T (December 1, 2022) (U, V )-Lucas polynomial coefficient relations of the bi-univalent function class. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 71 4 1121–1135.
IEEE
[1]A. Akgül and T. Shaba, “(U, V )-Lucas polynomial coefficient relations of the bi-univalent function class”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 71, no. 4, pp. 1121–1135, Dec. 2022, doi: 10.31801/cfsuasmas.1086809.
ISNAD
Akgül, Arzu - Shaba, Timilehin. “(U, V )-Lucas Polynomial Coefficient Relations of the Bi-Univalent Function Class”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 71/4 (December 1, 2022): 1121-1135. https://doi.org/10.31801/cfsuasmas.1086809.
JAMA
1.Akgül A, Shaba T. (U, V )-Lucas polynomial coefficient relations of the bi-univalent function class. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2022;71:1121–1135.
MLA
Akgül, Arzu, and Timilehin Shaba. “(U, V )-Lucas Polynomial Coefficient Relations of the Bi-Univalent Function Class”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 71, no. 4, Dec. 2022, pp. 1121-35, doi:10.31801/cfsuasmas.1086809.
Vancouver
1.Arzu Akgül, Timilehin Shaba. (U, V )-Lucas polynomial coefficient relations of the bi-univalent function class. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2022 Dec. 1;71(4):1121-35. doi:10.31801/cfsuasmas.1086809
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