Coefficient Problem for Certain Subclass of Analytic functions using Quasi-Subordination

Authors

  • B. Srutha Keerthi

  • S. Prema

coefficient functional for functions belonging

Abstract

An analytic function is quasi-subordinate to an analytic function , in the open unit disk if there exist analytic function and , with (0) = 0 and 1 such that Certain subclasses of analytic univalent functions associated with quasisubordination are defined and the bounds for the Fekete-Szego coefficient functional for functions belonging to these subclasses are derived.

Downloads

How to Cite

Coefficient Problem for Certain Subclass of Analytic functions using Quasi-Subordination. (2013). Global Journal of Science Frontier Research, 13(26), 47-53. https://journalofscience.org/index.php/GJSFR/article/view/103201

References

Subordination P. Duren, in Analysis, Springer Lecture Notes in Mathematics, Germany Berlin (1977) Subordination. 599, 22-29.

W. Ma, D. Minda (1994) A unified treatment of some special classes of univalent functions. 1, 157-169.

M. Robertson (1970) Quasi-subordination and coefficient conjectures. 76(1), 1-9. https://doi.org/10.1090/s0002-9904-1970-12356-4

O. Altinta¸s, Majorizations S. Owa, quasi-subordinations functions, Proceedings AcademyA (1992) Majorizations and quasi-subordinations for certain analytic functions. 68(7), 181-185.

S. Lee Quasi-subordinate functions and coefficient conjectures. (1), 43-50.

F. Ren, S. Owa, S. Fukui, Some functions, Bulletin of the Australian Mathematical Society (1991) Some inequalities on quasi-subordinate functions. 43(2), 317-324.

S. Miller, P. Mocanu, M. Reade (1972) Revue Roumaine Mathematiques Pures Appliquees. 17, 1395-1397.

Z. Lewandowski, S. Miller, E. Zlotkiewicz (1976) Gamma-starlike functions. 28, 53-58.

M. Darus, D. Thomas (1998) Convex Functions. 29(10), 1049-1059.

Coefficient Problem for Certain Subclass of Analytic functions using Quasi-Subordination

Published

2013-06-05

How to Cite

Coefficient Problem for Certain Subclass of Analytic functions using Quasi-Subordination. (2013). Global Journal of Science Frontier Research, 13(26), 47-53. https://journalofscience.org/index.php/GJSFR/article/view/103201