The evolution of polylogarithm function, also known as Jonquiere's function, was started in 1696 by
two eminent mathematicians, Leibniz and Bernoulli . In their work, the polylogarithm function
was defined using an absolute convergent series. The development of this function was so significant
that it was utilized in the research work of other prominent mathematicians such as Euler, Spence,
Abel, Lobachevsky, Rogers, Ramanujan, etc., allowing them to discover various functional identities
of great importance as a result . It should come as no surprise that the increased utilization
of the polylogarithm function appears to be related to its importance in a number of key areas of
mathematics and physics such as topology, algebra, geometry, complex analysis quantum field theory,
and mathematical physics The main purpose of this paper, is to introduce a new subclass of analytic functions
involving Polylogarithm functions and obtain coefficient inequalities, distortion properties, extreme
points, radii of starlikeness and convexity, Hadamard product, and convolution and integral operators
for the class..