Coefficient Estimates of Some Classes of Univalent Functions using Subordination Principle

  • Olubunmi A. Fadipe-Joseph Department of Mathematics, University of Ilorin, P. M. B. 1515, Ilorin, Nigeria
  • E. A. Aina Department of Mathematics, University of Ilorin, P. M. B. 1515, Ilorin, Nigeria
  • E. O. Titiloye Department of Mathematics, University of Ilorin, P. M. B. 1515, Ilorin, Nigeria
DOI: https://doi.org/10.34198/ejms.4120.111
Keywords: subordination principle, univalent functions, modified sigmoid function, Fekete-Szegö functional, Hankel determinant

Abstract

In this work, two classes T(b, λ) and V(b, λ) were defined. Coefficient bounds, Fekete-Szegö functional and Hankel determinants for the classes were obtained. The results obtained generalized some earlier ones.

Downloads

Download data is not yet available.

References

Ş. Altinkaya and S. Yalçin, The Fekete-Szegö problem for a general class of bi-univalent functions satisfying subordinate conditions, Sahand Communications in Mathematical Analysis 5(1) (2017), 1-7.

P. L. Duren, Univalent Functions, Springer-Verlag, New York, 1983.

O. A. Fadipe-Joseph, A. T. Oladipo and A. U. Ezeafulukwe, Modified sigmoid function in univalent function theory, International Journal of Mathematical Sciences and Engineering Applications 7(V) (2013), 313-317.

K. Kuroki and S. Owa, Notes on new class for certain analytic functions, Advances in Mathematics: Scientific Journal 1(2) (2012), 127-131.

S. N. Malik, S. Mahmood, M. Raza, S. Farman, S. Zainab and N. Muhammad, Coefficient inequalities of functions associated with hyberbolic domains, Mathematics 7(1) (2019), 1 11. https://doi.org/10.3390/math7010088

S. S. Miller and P. T. Mocanu, Differential Subordinations: Theory and Applications, Marcel Dekker, Inc., New York, 2000. https://doi.org/10.1201/9781482289817

Published
2020-04-12
How to Cite
Fadipe-Joseph, O. A., Aina, E. A., & Titiloye, E. O. (2020). Coefficient Estimates of Some Classes of Univalent Functions using Subordination Principle . Earthline Journal of Mathematical Sciences, 4(1), 1-11. https://doi.org/10.34198/ejms.4120.111
Issue
Vol 4 No 1 (2020)
Section
Articles


This work is licensed under a Creative Commons Attribution 4.0 International License.