Generalized hypergeometric distribution and its applications on univalent functions

Subclasses of Bi-Univalent Functions Associated with Generalized Hypergeometric Function

In this paper, we have introduced and investigated two new subclasses of the function class Δ of bi-univalent functions defined in the open unit disk, which are associated with the generalized Hypergeometric function. Furthermore, we find estimates on the Taylor-Maclaurin coefficient | a2 | and | a3 | for the functions belonging to these new classes.

Inclusion Theorems Involving Wright’s Generalized Hypergeometric Functions and Harmonic Univalent Functions

The purpose of this paper is to apply Wright generalized hypergeometric (Wgh) functions in defining a linear operator and obtain some inclusion relationships between the classes of harmonic univalent functions under this linear operator whenever certain Wgh inequalities with its validity conditions hold. Results for special cases of Wgh functions are also mentioned. 2000 Mathematics Subject Cla...

Extended Generalized Hypergeometric Functions and Their Applications (communicated by Hari

Abstract. By means of the extended beta function B (κl) b,d , we introduce new extensions of the generalized hypergeometric functions and present some new integral and series representations (including the one obtained by adopting the well-known Ramanujan’s Master Theorem). Further generalizations are also considered. We point out the usefulness of some of the the results by showing their conne...

Partial Sums of Generalized Class of Harmonic Univalent Functions Involving a Gaussian Hypergeometric Function

The purpose of the present paper is to establish some new results giving the sharp bounds of the real parts of ratios of harmonic univalent functions to its sequences of partial sums by involving the Gaussian hypergeometric function. Relevant connections of the results presented here with various known results are briefly indicated. We also mention results which are associated with certain clas...

On Hypergeometric Generalized Negative Binomial Distribution