80 research outputs found
Certain subclasses of starlike functions of complex order involving the Hurwitz-Lerch Zeta function
Making use of the Hurwitz-Lerch Zeta function, we define a new subclass of uniformly convex functions and a corresponding subclass of starlike functions with negative coefficients of complex order denoted by and obtain coefficient estimates, extreme points, the radii of close to convexity, starlikeness and convexity and neighbourhood results for the class . In particular, we obtain integral means inequalities for the function belongs to the class in the unit disc
Di_erential subordinations and superordinations for a comprehensive class of analytic functions
Coefficient bounds for some subclasses of p-valently starlike functions
For functions of the form we obtain sharp bounds for some coefficients functionals in certain subclasses of starlike functions. Certain applications of our main results are also given. In particular, Fekete-Szego-like inequality for classes of functions defined through extended fractional differintegrals are obtained
Coefficient Bounds for Certain Subclasses of Bi-Univalent Function
We introduce two new subclasses of the function class Σ of bi-univalent functions defined in the open unit disc. Furthermore, we find estimates on the coefficients |a2| and |a3| for functions in these new subclasses. Also consequences of the results are pointed out
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