Research Article

(U, V )-Lucas polynomial coefficient relations of the bi-univalent function class

Volume: 71 Number: 4 December 30, 2022
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

  1. Akgül, A., (P,Q)-Lucas polynomial coefficient inequalities of the bi-univalent function class, Turk. J. Math., 43 (2019), 2170–2176. https://doi.org/10.3906/mat-1903-38
  2. Akgül, A., On a family of bi-univalent functions related to the Fibonacci numbers, Mathematica Moravica, 26(1) (2022), 103–112. https://doi.org/10.5937/MatMor2201103A
  3. 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.
  4. 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
  5. 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
  6. 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.
  7. 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
  8. 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

Cited By

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

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