A subclass with bi-univalence involving Horadam polynomials and its coefficient bounds

• Muthunagai, Krishnan ^[1] ; Saravanan, G. ^[2] ; Baskaran, S. ^[3]
  1. [1] Vellore Institute of Technology.
  2. [2] Patrician College of Arts and Science.
  3. [3] Agurchand Manmull Jain College.

  Mostrar afiliaciones +
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 40, Nº. 3, 2021 (Ejemplar dedicado a: In progress (June 2021). This issue is in progress. Contains articles that are final and fully citable.), págs. 721-730
• Idioma: inglés
• DOI: 10.22199/issn.0717-6279-4073
• Enlaces
  • Texto completo
• Resumen

  • In this research contribution, we have constructed a subclass of analytic bi-univalent functions using Horadam polynomials. Bounds for certain coefficients and Fekete- Szegö inequalities have been estimated.

• Referencias bibliográficas
  • A. Akgül and F. Sakar, ”A certain subclass of bi-univalent analytic functions introduced by means of the q-analogue of Noor integral operator...
  • A. G. Alamoush, “Coefficient estimates for certain subclass of bi functions associated the Horadam polynomials”, 2018, arXiv: 1812.10589
  • D. Brannan and J. Clunie, Aspects of contemporary complex analysis. London: Academic Press, 1980.
  • T. Horzum and E. Gökçen Koçer, “On some properties of Horadam polynomials”, International mathematical forum, vol. 4, no. 25, pp. 1243-1252,...
  • A. F. Horadam and J. M. Mahon, ”Pell and Pell-Lucas polynomials”, The Fibonacci quarterly, vol. 23, no. 1, pp. 7-20, 1985. [On line]. Available:...
  • A. Horadam, ”Jacobsthal representation polynomials”, The Fibonacci quarterly, vol. 35, no. 2, pp. 137-148, 1997. [On line]. Available: https://bit.ly/3ez7OWY
  • T. Koshy, Fibonacci and Lucas numbers with applications. New York, NY: Wiley, 2001, doi: 10.1002/9781118033067
  • M. Lewin, ”On a coefficient problem for bi-univalent functions”, Proceedings of the American Mathematical Society, vol. 18, no. 1, pp. 63-63,...
  • A. Lupas, ”A Guide of Fibonacci and Lucas polynomials”, Octogon Mathematical Magazine, vol. 7, no. 1, pp. 2-12, 1999.
  • G. Saravanan and K. Muthunagai, “Estimation of upper bounds for initial coefficients and Fekete-Szegö inequality for a subclass of analytic...
  • G. Szegö, Orthogonal polynomials, 4th ed. Providence, RI: AMS, 1975.
  • R. Vijaya, T. Sudharsan and S. Sivasubramanian, ”Coefficient estimates for certain subclasses of biunivalent functions defined by convolution”,...
  • Q. Xu, Y. Gui, and H. Srivastava, ”Coefficient estimates for a certain subclass of analytic and bi-univalent functions”, Applied mathematics...
  • S. Yalçin, K. Muthunagai and G. Saravanan, ”A subclass with bi-univalence involving (p,q)- Lucas polynomials and its coefficient bounds”,...