References
- S. Baskaran, G. Saravanan, and B. Vanithakumari, Sakaguchi type function defined by (p, q)-fractional operator using Laguerre polynomials, Palest. J. Math. 11 (2022), Special Issue II, 41-47.
- S. Baskaran, G. Saravanan, S. Yal,cn, and B. Vanithakumari, Sakaguchi type function defined by (p, q)-derivative operator using gegenbauer polynomials, Int. J. Nonlinear Analy. Appl. 13 (2022), no. 2, 2197-2204.
- R. P. Boas, Aspects of contemporary complex analysis, Academic Press, Inc., London, 1980.
- L. I. Cotirla and A. K. Wanas, Applications of Laguerre polynomials for Bazilevic and θ-pseudo-starlike bi-univalent functions associated with Sakaguchi-type functions, Symmetry 15 (2023), no. 2, 406.
- B. A. Frasin, Coefficient inequalities for certain classes of Sakaguchi type functions, Int. J. Nonlinear Sci. 10 (2010), no. 2, 206-211.
- A. F. Horadam, Jacobsthal representation polynomials, Fibonacci Quart. 35 (1997), no. 2, 137-148.
- A. F. Horadam and J. M. Mahon, Pell and Pell-Lucas polynomials, Fibonacci Quart. 23 (1985), no. 1, 7-20.
- T. Horzum and E. G. Ko,cer, On some properties of Horadam polynomials, Int. Math. Forum 4 (2009), no. 25-28, 1243-1252.
- T. Koshy, Fibonacci and Lucas Numbers with Applications. Vol. 2, Pure and Applied Mathematics (Hoboken), John Wiley & Sons, Inc., Hoboken, NJ, 2019.
- M. Lewin, On a coefficient problem for bi-univalent functions, Proc. Amer. Math. Soc. 18 (1967), 63-68. https://doi.org/10.2307/2035225
- A. Lupas, A guide of Fibonacci and Lucas polynomials, Octogon Math. Mag. 7 (1999), no. 1, 3-12.
- K. Sakaguchi, On a certain univalent mapping, J. Math. Soc. Japan 11 (1959), 72-75. https://doi.org/10.2969/jmsj/01110072
- G. Saravanan and K. Muthunagai, Co-efficient estimates for the class of bi-quasi-convex functions using faber polynomials, Far East J. Math. Sci. (FJMS) 102 (2017), no. 10, 2267-2276. https://doi.org/10.17654/MS102102267
- G. Saravanan and K. Muthunagai, Estimation of upper bounds for initial coefficients and fekete-szego inequality for a subclass of analytic bi-univalent functions, In Applied Mathematics and Scientific Computing: International Conference on Advances in Mathematical Sciences, Vellore, India, December 2017-Volume II, pages 57-65. Springer, 2019.
- G. Szego, Orthogonal Polynomials, American Mathematical Society Colloquium Publications, Vol. 23, Amer. Math. Soc., New York, 1939.
- G. Szego, Orthogonal polynomials, fourth edition, American Mathematical Society Colloquium Publications, Vol. XXIII, Amer. Math. Soc., Providence, RI, 1975.
- R. Vijaya, T. V. Sudharsan, and S. Sivasubramanian, Coefficient estimates for certain subclasses of biunivalent functions defined by convolution, Int. J. Anal. 2016 (2016), Art. ID 6958098, 5 pp. https://doi.org/10.1155/2016/6958098
- A. K. Wanas, F. M. Sakar, and A. A. Lupa,s, Applications Laguerre polynomials for families of bi-univalent functions defined with (p, q)-Wanas operator, Axioms 12 (2023), no. 5, 430.
- A. K. Wanas, G. S. Salagean, and A. P.-S. Orsolya, Coefficient bounds and Fekete-Szego inequality for a certain family of holomorphic and bi-univalent functions defined by (M, N)-Lucas polynomials, Filomat 37 (2023), no. 4, 1037-1044. https://doi.org/10.2298/fil2304037w
- Q.-H. Xu, Y.-C. Gui, and H. M. Srivastava, Coefficient estimates for a certain subclass of analytic and bi-univalent functions, Appl. Math. Lett. 25 (2012), no. 6, 990-994. https://doi.org/10.1016/j.aml.2011.11.013
- S. Yalcin, K. Muthunagai, and G. Saravanan, A subclass with bi-univalence involving (p, q)-Lucas polynomials and its coefficient bounds, Bol. Soc. Mat. Mex. (3) 26 (2020), no. 3, 1015-1022. https://doi.org/10.1007/s40590-020-00294-z