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The aim of the present paper is to investigate some subordination implications for a class of nonlinear integral operators associated with multivalent functions in the open unit disk. Some known results associated with a class of nonlinear averaging integral operators are also pointed out as special cases of the main findings which are presented here. [ABSTRACT FROM AUTHOR]

Abstract: Ever since 2012 when Srivastava et al. [22] introduced and initiated the study of many interesting fundamental properties and characteristics of a certain pair of potentially useful families of the so-called generalized incomplete hypergeometric functions, there have appeared many closely-related works dealing essentially with notable developments involving various classes of generalized hypergeometric functions and generalized hypergeometric polynomials, which are defined by means of the corresponding incomplete and other novel extensions of the familiar Pochhammer symbol. Here, in this sequel to some of these earlier works, we derive several general families of hypergeometric generating functions by applying (for example) some such combinatorial identities as Gould’s identity, which stem essentially from the Lagrange expansion theorem. We also indicate various (known or new) special cases and consequences of the results presented in this paper. [Copyright &y& Elsevier]

Abstract: In a recent paper, Srivastava et al. (2012) [23] introduced and studied some fundamental properties and characteristics of a family of potentially useful incomplete hypergeometric functions. The main object of this paper is to investigate several generating functions for a certain class of incomplete hypergeometric polynomials associated with them. Various (known or new) special cases and consequences of the results presented in this paper are also considered. [Copyright &y& Elsevier]

Abstract: In the present paper, we obtain the subordination- and superordination-preserving properties of a certain general family of nonlinear integral operators which are defined on the space of normalized analytic functions in the open unit disk. The sandwich-type results for these integral operators are also presented. [Copyright &y& Elsevier]

Abstract: Let and belong to a certain class of normalized analytic univalent functions in the open unit disk of the complex plane. Sufficient conditions are obtained for normalized analytic functions to satisfy the double subordination chain . The differential sandwich-type result obtained is applied to normalized univalent functions and to -like functions. [Copyright &y& Elsevier]

Abstract: In the present paper, we investigate some subordination- and superordination-preserving properties for certain classes of analytic and multivalent functions in the open unit disk, which are associated with such multiplier transformations as the Srivastava–Attiya operator. Various sandwich-type theorems for functions belonging to these classes are also obtained. [ABSTRACT FROM AUTHOR]

Abstract: The purpose of the present paper is to derive some sufficient conditions for Carathéodory functions in the open unit disk by using Miller and Mocanu’s lemma. Several special cases are considered as the corollaries of main results. [Copyright &y& Elsevier]

Abstract: The purpose of the present paper is to derive some differential inequalities for certain analytic functions in the open unit disk by appealing to a result obtained by the first author. Relevant connections of the results presented here with those obtained in earlier works are also pointed out. [Copyright &y& Elsevier]

Abstract: In this work, we discuss certain classes of analytic functions in the unit disk. Some convolution properties and radii problems are investigated. [Copyright &y& Elsevier]

Abstract: The purpose of the present paper is to investigate several subordination- and superordination-preserving properties of a certain class of integral operators, which are defined on the space of meromorphic functions in the punctured open unit disk. The sandwich-type theorem for these integral operators is also presented. Moreover, we consider an application of the subordination and superordination theorem to the Gauss hypergeometric function. [Copyright &y& Elsevier]

Abstract: The purpose of the present paper is to introduce several new classes of meromorphic functions defined by using a meromorphic analogue of the Choi–Saigo–Srivastava operator for the generalized hypergeometric function and investigate various inclusion properties of these classes. Some interesting applications involving these and other classes of integral operators are also considered. [Copyright &y& Elsevier]

Abstract: Let A denote the class of analytic functions with the normalization ƒ (0) = ƒ′(0)-1 = 0 in the open unit disk U, set and define ƒλ,μ s , in terms of the Hadamard product In this paper, the authors introduce several new subclasses of analytic functions defined by means of the operator I λ,μ s : A → A, given by Inclusion properties of these classes and the classes involving the generalized Libera integral operator are also considered. [Copyright &y& Elsevier]

Abstract: The main object of the present paper is to investigate a number of inclusion relationships and some other useful properties of several interesting subclasses of analytic and -valent functions, which are defined here by means of a certain linear operator. Relevant connections of the results presented here with those obtained in earlier works are also pointed out. [Copyright &y& Elsevier]