On the Fekete–Szegö Problem for Meromorphic Functions Associated with p,q-Wright Type Hypergeometric Function (original) (raw)

A new class of meromorphically multivalent functions with applications to generalized hypergeometric functions

Mathematical and Computer Modelling, 2006

In the present paper we introduce a new class of meromorphically multivalent functions, which is defined by means of a Hadamard product (or convolution) involving some suitably normalized meromorphically p-valent functions. A characterization property giving the coefficient bounds is obtained for this class of functions. The other related properties, which are investigated in this paper, include distortion and the radii of starlikeness and convexity. We also consider several applications of our main results to generalized hypergeometric functions, whose special cases yield some known results given recently by J.-L. Liu, and H. M. Srivastava [Classes of meromorphically multivalent functions associated with the generalized hypergeometric function, Math. Comput. Modelling 39 (2004) 21-34].

Subclasses of analytic functions associated with the generalized hypergeometric function

Computers & Mathematics with Applications, 2009

Using the generalized hypergeometric function, we study a class Φ p k (q, s; A, B, λ) of analytic functions with negative coefficients. Coefficient estimates, distortion theorem, extreme points and the radii of close-to-convexity and convexity for this class are given. We also derive many results for the modified Hadamard product of functions belonging to the class Φ p k (q, s; A, B, λ).

Certain Properties ofq-Hypergeometric Functions

International Journal of Mathematics and Mathematical Sciences, 2015

The quotients of certainq-hypergeometric functions are presented asg-fractions which converge uniformly in the unit disc. These results lead to the existence of certainq-hypergeometric functions in the class of eitherq-convex functions,PCq, orq-starlike functionsPSq*.