Generalized Srivastava-Attiya Operator Research Articles

Certain Results on Fuzzy p-Valent Functions Involving the Linear Operator

The idea of fuzzy differential subordination is a generalisation of the traditional idea of differential subordination that evolved in recent years as a result of incorporating the idea of fuzzy set into the field of geometric function theory. In this investigation, we define some general classes of p-valent analytic functions defined by the fuzzy subordination and generalizes the various classical results of the multivalent functions. Our main focus is to define fuzzy multivalent functions and discuss some interesting inclusion results and various other useful properties of some subclasses of fuzzy p-valent functions, which are defined here by means of a certain generalized Srivastava-Attiya operator. Additionally, links between the significant findings of this study and preceding ones are also pointed out.

Univalence Criteria for Holomorphic Functions Involving Srivastava-Attiya Operator

The purpose of present paper is to introduce and investigate the univalence criteria of holomorphic functions by employ a basically general form of Srivastava-Attiya operator. In specific, we derive several sufficient conditions of univalence for the generalized Srivastava-Attiya operator. Furthermore, number of famous univalent conditions would follow across specializing the parameters involved. Relevant connections with other related previous works are also indicating.

Some applications of generalized Srivastava-Attiya operator to the bi-concave functions

Some applications of generalized Srivastava-Attiya operator to the bi-concave functions

A certain properties of a class of analytic functions defined by a generalized Srivastava-Attiya operator

In this article, we introduce a new class of analytic functions defined by generalized Srivastava-Attiya operator. Coefficient inequalities, convex combinations are obtained.

Univalence conditions for an integral operator defined by a generalization of the Srivastava-Attiya operator

The main object of this paper is to introduce and study systematically the univalence criteria of a new family of integral operators by using a substantially general form of the widely-investigated Srivastava-Attiya operator. In particular, we derive several new sufficient conditions of univalence for this generalized Srivastava-Attiya operator. Relevant connections with other related earlier works are also pointed out.

Some subordination and superordination results associated with generalized Srivastava-Attiya operator

By using the generalized Srivastava-Attiya operator we give some results of differential subordination and superordination of analytic functions. Some applications and examples are also obtained.

On certain multivalent functions involving the generalized Srivastava-Attiya operator

On certain multivalent functions involving the generalized Srivastava-Attiya operator

COEFFICIENT ESTIMATES FOR CERTAIN SUBCLASS FOR SPIRALLIKE FUNCTIONS DEFINED BY MEANS OF GENERALIZED ATTIYA-SRIVASTAVA OPERATOR

In this article, we derive a sharp estimates for the Taylor-Maclaurin coefficients of functions in some certain subclasses of spirallike functions which are defined by generalized Srivastava-Attiya operator. Several corollaries and consequences of the main result are also considered.

Certain problems related to generalized Srivastava–Attiya operator

In this paper, we study certain properties involving the generalized Srivastava–Attiya operator. A set of subordination results are obtained and some special cases connected with the Hurwitz–Lerch zeta function and their relevances with known results are also pointed out.

On the Convolution of a Finite Number of Analytic Functions Involving a Generalized Srivastava–Attiya Operator

The present paper gives several subordination results involving a generalized Srivastava–Attiya operator (defined below). Among the results presented in this paper include also a sufficiency condition for the convexity of the convolution of certain functions and a sharp result relating to the convolution structure. We also mention various useful special cases of the main results including those which are related to the Zeta function.

Some subordination results associated with generalized Srivastava-Attiya operator

The operator was introduced in (Srivastava and Attiya in Integral Transforms Spec. Funct. 18(3-4): 207-216, 2007), which makes a connection between Geometric Function Theory and Analytic Number Theory. In this paper, we use the techniques of differential subordination to investigate some classes of admissible functions associated with the generalized Srivastava-Attiya operator in the open unit disc . MSC:30C80, 30C10, 11M35.

Some Inclusion Relationships Associated with Generalized Srivastava-Attiya Operator

In this paper we introduce and study some new subclasses of p-valent starlike, convex, close-to-convex and quasi-convex functions de…ned by generalized Srivastava-Attiya operator. Inclusion relationships are established and integral operator of functions in these subclasses is discussed.

Preserving subordination and superordination results of generalized Srivastava-Attiya operator

Preserving subordination and superordination results of generalized Srivastava-Attiya operator

Applications of differential subordinations for certain classes of p-valent functions associated with generalized Srivastava-Attiya operator

Abstract The object of the present paper is to investigate some inclusion relations and other interesting properties for certain classes of p-valent functions involving generalized Srivastava-Attiya operator by using the principle of differential subordination. MSC:30C45.

Some subordination and superordination results of generalized Srivastava-Attiya operator

Abstract In this article, we obtain some subordination and superordination-preserving results of the generalized Srivastava-Attyia operator. Sandwich-type result is also obtained. Mathematics Subject Classification 2000: 30C45.

Some properties of the generalized Srivastava–Attiya operator

The main objective of this paper is to derive some inequality properties, convolution properties, subordination and superordination properties, and sandwich-type results involving the generalized Srivastava–Attiya operator.

On subordination for higher-order derivatives of multivalent functions associated with the generalized Srivastava-Attiya operator

Abstract In this paper, we study and use differential subordination methods to obtain several interesting subordination results and best dominants for higher-order derivatives of multivalent functions defined with Srivastava-Attiya operator.

Subordination results for spiral-like functions associated with the Srivastava–Attiya operator

In this paper, making use of the generalized Srivastava–Attiya operator , we introduce a new subclass of spiral-like functions and discuss some subordination results for functions in this generalized function class. Furthermore, we mention some known and new results, which follow as special cases of our results.

Sufficient conditions for strongly star-like functions involving the generalized Srivastava–Attiya operator

By using the method of differential subordinations, we derive certain sufficient conditions for strongly star-like functions associated with the generalized Srivastava–Attiya operator. All these results presented here are sharp.

Certain subclasses of multivalent analytic functions involving the generalized Srivastava–Attiya operator

By making use of the principle of subordination between analytic functions and the generalized Srivastava–Attiya operator, we introduce and investigate some new subclasses of multivalent analytic functions. Such results as inclusion relationships and integral-preserving properties involving these subclasses are proved. Several subordination and superordination results associated with this operator are also derived.