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A bi-univalent function is a univalent function defined on the unit disk for which the inverse function has a univalent extension to the unit disk. The paper of H. M. Srivastava, A. K. Mishra and P. Gochhayat [Certain subclasses of analytic and bi-univalent functions, Appl. Math. Lett. 23 (2010), no. 10, 1188-1192] renewed the investigation of the estimate on initial coefficients of bi-univalent functions. In this paper, to certain classes defined by subordination and of functions for which f and f - 1 belong to different subclasses of univalent functions are derived. Improvement of the earlier known estimates were also pointed out. [ABSTRACT FROM AUTHOR]

The objective of this paper is to obtain best possible upper bounds for the second nd third Hankel functionals associated with the kth root transform [f(zk)]1/k of normalized analytic function f(z) when it belongs to it belongs to bounded turning functions, defined on the open unit disc in the complex plane, using Toeplitz determinants. [ABSTRACT FROM AUTHOR]

In this paper, we introduce the subclassesM-1(α), N-1(α); (M*)-1(α) and (N*)-1(α) of analytic functions of reciprocal order α. Coefficient inequalities and an interesting subordination results are obtained. [ABSTRACT FROM AUTHOR]

In this paper we study some applications of the theory of differential subordination defined on the space of univalent functions which are defined by linear operators. Also, some examples are given. [ABSTRACT FROM AUTHOR]

The main object of this present paper is to investigate the problem of majorization for certain classes of analytic functions of complex order associated associated with the Dziok-Srivastava and the Srivastava- Wright convolution operators. Moreover we point out some new or known consequences of our main result. [ABSTRACT FROM AUTHOR]

Numerous linear operators were introduced in geometric function theory and the properties of functions defined by them were derived using a recurrence relation satisfied by them. All these linear operators are unified in this paper and subordination and superordination properties of p-valent analytic functions defined using the general linear operator as well as a related integral transform are investigated. Some applications to univalent functions are also provided. [ABSTRACT FROM AUTHOR]

The theory of second order differential subordination of S. S. Miller and P. T. Mocanu [Differential Subordinations, Dekker, New York, 2000] was recently extended to functions with fixed initial coefficient by R. M. Ali, S. Nagpal and V. Ravichandran [Second-order differential subordination for analytic functions with fixed initial coefficient, Bull. Malays. Math. Sci. Soc. (2) 34 (2011), 611-629] and applied to obtain several generalization of classical results in geometric function theory. In this paper, further applications of this subordination theory is given. In particular, several sufficient conditions related to starlikeness, convexity, close-to-convexity of normalized analytic functions are derived. [ABSTRACT FROM AUTHOR]

In this paper, we obtain some applications of first order differential subordination and superordination results defined by Dzoik-Srivastava operator and other linear operators for certain normalized analytic functions. [ABSTRACT FROM AUTHOR]

The object of the present paper is to investigate the majorization properties of certain subclass of analytic and p-valent functions defined by the generalized hypergeometric function. [ABSTRACT FROM AUTHOR]

The object of the present paper is to investigate the majorization properties of certain subclass of analytic and p-valent functions defined by the generalized hypergeometric function. [ABSTRACT FROM AUTHOR]

In this paper, we introduce a new class of analytic functions by using generalized Al-Oboudi differential operator, and obtain some subordi-nation results. [ABSTRACT FROM AUTHOR]

The paper deals with the study of growth of harmonic functions H in R4 using the LaPlacian type integral operator (and inverse). Moreover, we have characterized the order and type of H in terms of spherica harmonic coefficients occurring in spherical harmonic expansions which have not been studied so far. Our results apply satisfactorily for studying the time dependent problems in R³ [ABSTRACT FROM AUTHOR]

We consider a generalized class SH̅(m; b) which is constructed by modified Salagean operator. The object of the present paper is to study some relations between classes of harmonic univalent functions which are starlike or convex of complex order and other classes of harmonic univalent functions and to give an answer to a conjecture due to Owa [9] in harmonic case. [ABSTRACT FROM AUTHOR]

Let φ be an analytic self-map of the unit disk ⅅ, H(ⅅ) the space of analytic functions on ⅅ and g ∈ H(ⅅ). The boundedness and compactness of the products of composition operators and Volterra-type integral operators from the logarithmic Bloch spaces into the Bloch-type spaces are investigated in this paper. [ABSTRACT FROM AUTHOR]

By making use of the generalized hypergeometric function, we introduce a new family of integral operators and investigate their univalence properties. Relevant connections of the results, which are presented in this paper, with various other known results are also pointed out. [ABSTRACT FROM AUTHOR]

The main purpose of this paper is to derive some new properties for a class of p-valent non-Bazilevič functions involving the Cho-Kwon-Srivastava operator, such results as subordination and superordination properties, convolution properties, coefficient estimates, sufficient conditions for starlikeness and sufficient conditions for functions belonging to this class are obtained. [ABSTRACT FROM AUTHOR]

We introduce several new subclasses of functions analytic with respect to symmetric conjugate points, which are defined by using sub-ordination for analytic functions θ and ψ on the unit disk. The object of this paper is to investigate some structural formulas and various interesting properties of Hadamard product in these subclasses. Furthermore, the upper bounds on the coeffcient functional |a3 - µa22 for functions f(z) = z + a2 z2 + a3 z3 + ... in these subclasses are also obtained. [ABSTRACT FROM AUTHOR]

The main object of the present paper is to give several further interesting properties of the class Tlambda;* (p, α) which was recently introduced and studied by Aouf et al [Computers Math.Applic. 39(2000)39-48]. [ABSTRACT FROM AUTHOR]

In the present paper, we derive certain new argument properties of a class of multivalent analytic functions defined in an open unit disk by using a theorem recently established by A. Y. Lashin in 2004. Certain intersting (known or new) results are derived in the form of corollaries from our main results. [ABSTRACT FROM AUTHOR]

The partial sum of Jacobi series of an entire function f(z) = ∞∑k=0...qk (z)[γ(z)]k-1, where γ(z) is a polynomial of degree ξ and qk(z) is a uniquely determined polynomial of degree ξ - 1 or less, interpolate f(z) at the zeros of γ(z). Let B be a Caratheodory domain. For 1 ≤ p ≤ ∞ let Lp(B) be the class of all functions f holomorphic in B such that ||f||B,p = [1/A ∫ ∫B |f(z)|pdxdy]1/p < ∞, where A is the area of B. For f ∈ Lp(B), set Emp(f) = inf...t∈πm ||f - t||B,p, πm consists of all polynomials of degree at most m = ξk. This paper deals with generalized growth parameters in terms of above approximation error in Lp - norm on B. [ABSTRACT FROM AUTHOR]

The object of the present paper is to discuss the coefficient estimates for multivalent functions belonging to the starlike and convex classes. Further, by using the Dziok-Srivastava linear operator, several distortion inequalities for these classes are also established. [ABSTRACT FROM AUTHOR]

The present paper aims at a systematic investigation of a new class Sλ,μ,η(α, &ebta;, A, B, m) of analytic functions in open unit disk U: We have derived several results like characterization property, distortion theorem and other interesting properties of the same class. [ABSTRACT FROM AUTHOR]

The main object of this paper is to prove several inclusion relations associated with the (n, δ)-neighborhoods of various subclasses of starlike and convex functions of complex order, which are introduced here by means of the Dziok-Srivastava operator. Special cases of some of these inclusion relations are shown to yield known results. [ABSTRACT FROM AUTHOR]