H. M. Srivastava

Classes of analytic functions associated with the generalized hypergeometric function

Using the generalized hypergeometric function, we introduce and study a class of analytic functions with negative coefficients. Coefficients estimates, distortion theorems, extreme points, and the radii of convexity and starlikeness for this class are given. Relevant connections of these results with those in several earlier investigations are indicated.

Current topics in analytic function theory

Univalent logharmonic extensions onto the unit disk or onto an annulus, Z. Abdulhadi and W. Hengartner hypergeometric functions and elliptic integrals, G.D. Anderson et al a certain class of caratheodory functions defined by conditions on the circle, J. Fuka and Z.J. Jakubowski recent advances in the theory of zero sets of the Bergman spaces, E.A. LeBlanc a coefficient functional for meromorphic univalent functions, L. Liu spherical linear invariance and uniform local spherical convexity, W. Ma and D. Minda a special differential subordination and its application to univalency conditions, S.S. Miller and P.T. Mocanu on the Bernardi integral functions, S. Owa analytic solutions of a class of Briot-Bouquet differential equations, S. Owa and H.M. Srivastava a certain class of generalized hypergeometric functions associated with the Hardy space of analytic functions, H.M. Srivastava on the coefficients of the univalent functions of the Nevanlinna classes N1 and N2, P.G. Todorov.

Certain Subclasses of Analytic Functions Associated with the Generalized Hypergeometric Function

Recently, the authors introduced and studied certain subclasses of analytic functions (associated with the generalized hypergeometric function) using the classical normalization. The main object of this sequel to the earlier work is to present a systematic investigation of various subclasses of analytic functions using Montels normalization. Coefficients estimates, distortion theorems, and the radii of convexity and starlikeness for each of these classes are given.

Some inclusion properties of a certain family of integral operators

Abstract The authors introduce several new subclasses of analytic functions, which are defined by means of a general integral operator I λ,μ , and investigate various inclusion properties of these subclasses. Many interesting applications involving these and other families of integral operators are also considered.

Certain subclasses of analytic and bi-univalent functions

In the present paper, we introduce and investigate two interesting subclasses of normalized analytic and univalent functions in the open unit disk U≔{z:z∈Cand|z|<1}, whose inverse has univalently analytic continuation to U. Among other results, bounds for the Taylor–Maclaurin coefficients |a2| and |a3| are found in our investigation.

Operators of fractional integration and their applications

The main purpose of this paper is to present a systematic (and historical) account of the investigations carried out by various authors in the field of fractional calculus and its applications. Several interesting results, relevant to the present investigation, are also considered.

Remarks on some relationships between the Bernoulli and Euler polynomials

In a recent paper which appeared in this journal, Cheon [1] rederived several known properties and relationships involving the classical Bernoulli and Euler polynomials. The object of the present sequel to Cheons work [1] is to show (among other things) that the main relationship (proven in [1]) can easily be put in a much more general setting. Some analogous relationships between the Bernoulli and Euler polynomials are also considered.

Classes of meromorphically multivalent functions associated with the generalized hypergeometric function

Making use of a linear operator, which is defined here by means of a Hadamard product (or convolution) involving the generalized hypergeometric function, the authors introduce and investigate the various properties and characteristics of two novel classes of meromorphically multivalent functions. They also apply the familiar concept of neighborhoods of analytic functions to these classes of meromorphically multivalent functions.

Argument estimates of certain analytic functions defined by a class of multiplier transformations

The purpose of the present paper is to derive some inclusion properties and argument estimates of certain normalized analytic functions in the open unit disk, which are defined by means of a class of multiplier transformations. Furthermore, the integral preserving properties in a sector are investigated for these multiplier transformations. Relevant connections of the results, which are presented in this paper, with various known results are also considered.

Some relationships between the Apostol-Bernoulli and Apostol-Euler polynomials

Recently, Srivastava and Pinter [1] investigated several interesting properties and relationships involving the classical as well as the generalized (or higher-order) Bernoulli and Euler polynomials. They also showed (among other things) that the main relationship (proven earlier by Cheon [2]) can easily be put in a much more general setting. The main object of the present sequel to these earlier works is to derive several general properties and relationships involving the Apostol-Bernoulli and Apostol-Euler polynomials. Some of these general results can indeed be suitably specialized in order to deduce the corresponding properties and relationships involving the (generalized) Bernoulli and (generalized) Euler polynomials. Other relationships associated with the Stirling numbers of the second kind are also considered.