Search

Let φ be an analytic selfmap of the open unit disk D and g be an analytic function on D. The Volterra-type composition operators induced by the maps g and φ are defined as (Ig φ f) (z) = ∫0 z f' (φ(ζ))g(ζ)dζ and (Tg φf) (z) = ∫0 z f(φ(ζ))g′ (ζ)dζ. For 1 ≤ p < ∞, S p (D) is the space of all analytic functions on D whose first derivative f ′ lies in the Hardy space Hp (D), endowed with the norm ∥f∥Sp = |f(0)| + ∥f′ ∥Hp . Let µ : (0, 1] → (0, ∞) be a positive continuous function on D such that for z ∈ D we define µ(z) = µ(|z|). The weighted Zygmund space Zµ(D) is the space of all analytic functions f on D such that supz∈D µ(z)|f ′′(z)| is finite. In this paper, we characterize the boundedness and compactness of the Volterra-type composition operators that act between S p spaces and weighted Zygmund space [ABSTRACT FROM AUTHOR]

In this paper, we introduce and investigate a family of analytic functions, denoted by F(Π, α, β, λ, δ, μ), defined by means of Horadam polynomials. For functions in this family, we derive the estimations for the initial Taylor-Maclaurin coefficients |a2| and |a3|. Moreover, we obtain the classical Fekete-Szegö inequality of functions belonging to this family. [ABSTRACT FROM AUTHOR]

In this paper, we introduce and investigate a class of bi-univalent functions, denoted by F(n, α, β), that depends on the Ruscheweyh operator and defined by the use of Gegenbauer Polynomials. For functions in this class, we derive the estimations for the initial Taylor-Maclaurin coefficients |a2| and |a3|. Moreover, we obtain the classical Fekete-Szegö inequality of functions belonging to this class. [ABSTRACT FROM AUTHOR]

The aim of the present paper is to introduce some new subclasses of analytic multivalent functions S*(p, µ,d) and C*(p, µ,d). In the present paper, we determine the necessary and sufficient conditions for the Generalized Poisson Distribution Series to be in the subclasses S*(p, µ,d) and C*(p, µ,d). Some interesting results using the Generalized Poisson distribution series on these subclasses are also derived. [ABSTRACT FROM AUTHOR]

In this paper, we introduce and investigate an interesting subclass B∑h,p(λ), of analytic and bi-univalent functions in the open unit disk U. For functions belonging to the class BB∑h,p(λ), obtain estimates on the first two coefficients | a2 | and | a3 | The results presented in this paper generalize and improve some recent works of Frasin et al. [B.A.Frasin, M.K.Aouf, New subclasses of bi-univalent functions, Appl. Math. Lett. 24:1569-1573, 2011] and Srivastava et al. [Qing-Hua Xu, Ying-Chun Gui, H.M.Srivastava, coefficient estimates for a certain subclass of analytic and bi-univalent functions, Appl. Math. Lett. 25: 990-994, 2012]. [ABSTRACT FROM AUTHOR]

In this paper, we consider a nondifferentiable minimax fractional programming problem treated with complex variables. Duality problem in optimization theory plays an important role. The goal of this paper is to formulate the Wolfe type dual and Mond-Weir type dual problems. We aim to establish the duality problems, and prove that the duality theorems have no duality gap to the primal problem under some assumptions. The processes involves to show three theorems: the weak, strong and strictly converse duality theorem. [ABSTRACT FROM AUTHOR]

In the paper we introduce and investigate two new subclasses of multivalently analytic functions defined by Dziok-Srivastava operator. In this paper we obtain the coefficient estimates and the consequent inclusion relationships involving the neighborhoods of the analytic functions. [ABSTRACT FROM AUTHOR]

The object of the present paper is to derive certain sufficient conditions for starlikeness of reciprocal order of analytic functions in the open unit disk. [ABSTRACT FROM AUTHOR]

The aim of this paper is to establish the coefficient bounds for certain classes of analytic functions associated with q-difference operator. Certain applications of these results for the functions defined through convolution are also obtained. [ABSTRACT FROM AUTHOR]

In this paper we study the approximation properties of the tensor product kind bivariate complex Bernstein-Schurer polynomials. We obtain the order of simultaneous approximation and Voronovskaja-type results with quantitative estimate for bivariate complex Bernstein-Schurer polynomials attached to analytic functions on compact polydisks. [ABSTRACT FROM AUTHOR]

In this paper, we introduce and investigate two interesting subclasses Hg (n, b, λ, α, β) and Hg (n, b, ,λ,α δ; u) of analytic functions of complex order in the open unit disk ⋓, which are defined by means of the familiar multiplier operator. Formfunctions belonging to the each of these subclasses, we obtain several results involving (for example) coefficient bounds. Then results presented here would generalize many known results. [ABSTRACT FROM AUTHOR]

In this paper we consider some subclasses of the class of analytic functions defined in the open unit disk of the complex plane and we study some properties for an integral operator on these classes. Particular results are presented. [ABSTRACT FROM AUTHOR]

In this paper we study the mapping properties with respect to new generalised integral operator which was studied recently. [ABSTRACT FROM AUTHOR]

In this paper, we consider a family of multiplier transformations and several subclasses of multivalent functions which are defined by means of convolution. Several interesting results are derived. Some (known or new) special cases of the multivalent function classes, which are investigated here, are also discussed. [ABSTRACT FROM AUTHOR]

In this paper two subclasses Sp,qδ(γ,A,B) and Cp,qδ(γ,A,B) of p-valently starlike and pvalently convex functions of complex order Y ≠ 0 in the open unit disk U are introduced and for these classes several majorization problems are discussed. [ABSTRACT FROM AUTHOR]

In this paper, a new theorem on degree of approximation in Lp2(Ω) Sobolev space of integrable functions of two variables by Bernstein-Chlodowsky polnomials on an unbounded triangular domain is studied. Also by using the K- functional of Peetre the order of approximation are established. [ABSTRACT FROM AUTHOR]

The object of the present paper is to introduce and study new classes of meromorphically p-valent functions associated with the integral operators Pβpα and Qβpα. [ABSTRACT FROM AUTHOR]

The object of this paper is to give several strict inequalities associated with the operator Ip,nλ(a, b; c) (a, b ∈ R \ ℤ0- , p, n ∈ N = {1,2, …}, λ; > -p) defined by X.-L. Fu and M.-S. Liu, Some subclasses of analytic functions involving the generalized Noor integral operator [see 3]. [ABSTRACT FROM AUTHOR]

In this paper, we introduce a new class Bml(α,δ) of functions which is defined by hypergeometric function and obtain its relations with some well-known subclasses of analytic univalent functions. Furthermore, as a special case, we show that convex functions of order 1/2 are also members of the family Bml(α,δ). [ABSTRACT FROM AUTHOR]

In this paper, we obtain some applications of first order differential subordination and superordination results involving a linear operator and other linear operators for certain normalized analytic functions. Some of our results generalize previously known results. [ABSTRACT FROM AUTHOR]

In this paper, we introduce (α,β,δ)-neighborhoods of analytic functions with negative coefficients. Furthermore, we obtain some interesting results for functions belonging to this neighborhoods. [ABSTRACT FROM AUTHOR]

In this paper, we obtain new sufficient conditions for two general integral operator to be univalent in the open unit disc. A number of new univalent conditions would follow upon specializing the parameters involved in our main results. [ABSTRACT FROM AUTHOR]

The purpose of the present paper is to investigate some inclusion properties of certain sub-classes of analytic functions associated with a family of Multiplier transformations, which are defined by means of the Hadamard product (or convolution). [ABSTRACT FROM AUTHOR]

In this paper, we establish certain results concerning the quasi-Hadamard product for the classes related to meromorphic p-valent analytic functions with positive coefficients. [ABSTRACT FROM AUTHOR]

In this paper we derive some differential subordination and superordination results for p-valent meromorphic functions in the punctured unit disc, which are acted upon by a class of extended multiplier transformations. These results are obtained by investigating appropriate classes of admissible functions. Sandwich-type results are also obtained. [ABSTRACT FROM AUTHOR]

In this paper, we define a class Rgh(p,m,β) associated with convolution of p-valent analytic functions. Some properties in the form of coefficient inequalities, distortion and growth theorems, sufficient conditions with the help of various lemmas, integral means inequalities for convolution of two functions and a set of class preserving integral operators of functions belonging to this class are studied. [ABSTRACT FROM AUTHOR]

In this paper, the subclasses Ss*(g) and Ks*(g) of analytic functions are introduced. we obtain coefficient bounds for f(z) when f(z) is in the class S*g or is in the class K*g. These results generalize many known results. [ABSTRACT FROM AUTHOR]

In this paper, we investigate majorization properties for certain classes of multivalent analytic functions defined by a generalized operator. Also, we point out some new and known consequences of our main result. [ABSTRACT FROM AUTHOR]

In this paper, we derive several new modular equations of degree 4 by using Ramanujan's modular equations. We also establish several general formulas for explicit evaluations of h4,n. [ABSTRACT FROM AUTHOR]

Abstract. In this paper, we obtain some applications of first order differential subordination and superordination results for some analytic functions defined by convolution. [ABSTRACT FROM AUTHOR]

In this paper, we introduce a new subclass of meromorphic multivalent functions associated with Wright generalized hypergeometric function and obtain new results for this class by the application of Briot-Bouquet differential subordination. [ABSTRACT FROM AUTHOR]

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. [ABSTRACT FROM AUTHOR]

Differential subordination and superordination results are obtained for analytic functions in the open unit disk which are associated with the integral operator. These results are obtained by investigating appropriate classes of admissible functions. Sandwich-type results are also obtained. Some of the results established in this paper would provide extensions of those given in earlier works. [ABSTRACT FROM AUTHOR]

In the present paper, we study the polynomial approximation of entire functions of several complex variables. The characterizations of generalized type of entire functions of several complex variables have been obtained in terms of approximation and interpolation errors. [ABSTRACT FROM AUTHOR]

The object of the present paper is to investigate several classes of analytic functions with varying argument of coefficients, which are defined here by means of the principle of subordination between analytic functions. Such properties as the coefficient estimates, distortion theorems, subordination theorems, convolution properties, integral means inequalities, and radii of conexity and starlikenes are investigated. Some consequences of our main results for new or known classes of analytic functions are also pointed out. [ABSTRACT FROM AUTHOR]

The accurate asymptotic evaluation of marginal likelihood integrals is a fundamental problem in Bayesian statistics. Following the approach introduced by Watanabe, we translate this into a problem of computational algebraic geometry, namely, to determine the real log canonical threshold of a polynomial ideal, and we present effective methods for solving this problem. Our results are based on resolution of singularities. They apply to parametric models where the Kullback-Leibler distance is upper and lower bounded by scalar multiples of some sum of squared real analytic functions. Such models include finite state discrete models. [ABSTRACT FROM AUTHOR]