SHARP BOUNDS OF FEKETE-SZEGO FUNCTIONAL FOR QUASI-SUBORDINATION CLASS

S. R. SWAMY; Y SAILAJA

doi:https://doi.org/10.14445/22315373/IJMTT-V66I11P507

International Journal of Mathematics Trends and Technology

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Volume 66 | Issue 11 | Year 2020 | Article Id. IJMTT-V66I11P507 | DOI : https://doi.org/10.14445/22315373/IJMTT-V66I11P507

SHARP BOUNDS OF FEKETE-SZEGO FUNCTIONAL FOR QUASI-SUBORDINATION CLASS

S. R. SWAMY, Y SAILAJA

Abstract

In this work, considering a special subclass of the family of holomorphic functions in an open unit disk, defined by means of quasi-subordination, we determine sharp bounds for Fekete-Szego functional |d3-ξd22| of functions in this class. Several results for new classes and connections to known classes are mentioned.

Keywords

Holomorphic functions, Majorization, Quasi-subordination, Fekete-Szego coefficients.

References

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Citation :

S. R. SWAMY, Y SAILAJA, "SHARP BOUNDS OF FEKETE-SZEGO FUNCTIONAL FOR QUASI-SUBORDINATION CLASS," International Journal of Mathematics Trends and Technology (IJMTT), vol. 66, no. 11, pp. 87-94, 2020. Crossref, https://doi.org/10.14445/22315373/IJMTT-V66I11P507