A new class of K-uniformly starlike functions imposed by
generalized Salagean’s operator
Univalent function
star-like function
convolution product
Salagean’s differential operator
Hurwitz–Lerch zeta function.
Recently, numerous the generalizations of Hurwitz-Lerch zeta functions are investigated and introduced. In this paper, by using the extended generalized Hurwitz-Lerch zeta function, a new Salagean’s differential operator is studied. Based on this new operator, a new geometric class and yielded coefficient bounds, growth and distortion result, radii of convexity, star-likeness, close-to-convexity, as well as extreme points are discussed.
