COEFFICIENT BOUNDS FOR THE FUNCTION IN THE CLASS OF MODIFIED JONQUI

Abstract

In this work, by considering a general subclass of univalent functions we define a new class S(a, Yi ) s
associated with the Jonquiere's function (popularly known as polylogarithm function).
Subordination principle was employed to obtain the upper bounds for the first few coefficients of the
class defined. Furthermore, non-linear functional ïa ma2ï(the classical Fekete-Szego.. inequality) for 3 2
the function in the class was established. Conclusively, consequences of certain choices of parameters
involved in the results were pointed out. The results further established geometric properties of the
Jonquiere's function associated with univalent functions.