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Certain class of analytic functions associated with the generalized hypergeometric function

100%

Aouf M. K.

tom Vol. 29

17-31

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

Certain class of analytic functions associated with the wright generalized hypergeometric function

86%

Aouf M. K. , Dziok J.

tom Vol. 30

23-32

Using the Wrigh's generalized hypergeometric function, we introduce a new class W(q, s; A, B, γ) of analytic functions with nega-tive coefficients. In this paper we investigate coefficient estimates, distortion theorem and the radii of convexity and starlikeness.

Close-to-convexity properties of basic hypergeometric functions using their Taylor coefficients

72%

Raghavendar K. , Swaminathan A.

2012

tom Vol. 35

53--67

In this paper, we find the conditions on parameters a, b, c and q such that the basic hypergeometric function zφ(a,b;c;q,z) and its q-Alexander transform are close-to-convex (and hence univalent) in the unit disc D:={z: |z|<1}.

Applications of convolution properties

51%

Trojnar-Spelina L.

tom Vol. 46, nr 3

513--523

K. I. Noor (2007 Appl. Math. Comput. 188, 814–823) has defined the classes Qk(a, b, λ, γ) and Tk(a, b, λ, γ) of analytic functions by means of linear operator connected with incomplete beta function. In this paper, we have extended some of the results and have given other properties concerning these classes.