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Properties of harmonic meromorphic functions which are starlike of complex order with respect to conjugate points
harmonic meromorphic
2010/11/1
This paper defines and investigates a class of meromorphic univalent harmonic functions that are starlike of complex order with respect to conjugate points. The authors obtain convolution and convex c...
Radial extension of a bi-Lipschitz parametrization of a starlike Jordan curve
Radial extension bi-Lipschitz parametrization
2010/11/24
In this paper we discus the radial extension $w$ of a bi-Lipschitz parameterization $F(e^{it})=f(t)$ of a starlike Jordan curve $\gamma$ w.r. to $0$. We show that, if parameterization is bi-Lipschitz,...
Uniqueness on the Class of Odd-Dimensional Starlike Obstacles with Cross Section Data
Odd-Dimensional Starlike Obstacles Cross Section Data
2010/11/18
We determine the uniqueness on starlike obstacles by using the cross section data. We see cross section data as spectral measure in polar coordinate at far field. Cross section scattering data suffic...
Multivalent meromorphic starlike functions with negative coefficients
Meromorphic Starlike Negative Coefficients
2010/9/13
Coefficient inequalities, distortion theorems and class preserving integral operators are obtained for p-valent meromorphic starlike functions of order α (0 ≤ α < p) with negative coefficients.
Asymptotics of multiple orthogonal polynomials for a system of two measures supported on a starlike set
Higher-order recurrences Nikishin systems ratio asymptotics nth root asymptotics
2010/11/29
For a system of two measures supported on a starlike set in the complex plane, we study asymptotic properties of associated multiple orthogonal polynomials Qn and their recurrence coefficients. These ...
Let H denote the class of functions f which are harmonic and univalent in the open unit disc D = {z : |z| < 1}. This paper defines and investigates a family of complex-valued harmonic functions that a...
On a Certain Subclass of Starlike Functions with Negative Coefficients
Univalent functions Starlike functions Integral means Neighborhoods Partial sums
2010/1/22
We introduce the class of analytic functions with negative coefficients. In this paper we give some properties of functions in the class and we obtain coefficient estimates, neighborhood and integ...
Hadamard Product Of Certain Meromorphic $p-$Valent Starlike and $p-$Valent Convex Functions
Meromorphic $p$-valent Hadamard product
2010/1/22
In this paper, we establish some results concerning the Hadamard product of certain meromorphic p-valent starlike and meromorphic p-valent convex functions analogous to those obtained by Vinod Kumar (...
Subclass of univalent functions with negative coefficients and starlike with respect to symmetric and conjugate points
Analytic functions univalent functions starlike with respect to symmetric points
2010/9/13
Subclass of univalent functions with negative coefficients and starlike with respect to symmetric and conjugate points
A New Subclass of Uniformly Convex Functions and a Corresponding Subclass of Starlike Functions with Fixed Second Coefficient
Univalent Convex Starlike Uniformly convex Uniformly starlike Linear operator
2008/7/3
Making use of Linear operator theory, we define a new subclass of uniformly convex functions and a corresponding subclass of starlike functions with negative coefficients. The main object of this pape...
Coefficient Inequalities for Certain Classes of Meromorphically Starlike and Meromorphically Convex Functions
Meromorphic functions Univalent functions Starlike functions Convex functions
2008/7/1
Coefficient Inequalities for Certain Classes of Meromorphically Starlike and Meromorphically Convex Functions.
Coefficient Inequalities for Classes of Uniformly Starlike and Convex Functions
Uniformly starlike Uniformly convex
2008/7/1
In view of classes of uniformly starlike and convex functions in the open unit disc which was considered by S. Shams, S.R. Kulkarni and J.M. Jahangiri, some coefficient inequalities for functions are...
Coefficients of Inverse Functions in a Nested Class of Starlike Functions of Positive Order
Univalent functions, Starlike functions of order $alpha$ Convex functions of order $alpha$ Inverse functions Coefficient estimates
2008/7/1
Coefficients of Inverse Functions in a Nested Class of Starlike Functions of Positive Order.
Integral Means for Starlike and Convex Functions with Negative Coefficients
Univalent Starlike Convex Integral mean
2008/6/30
Integral Means for Starlike and Convex Functions with Negative Coefficients.
Integral Means For Uniformly Convex and Starlike Functions Associated With Generalized Hypergeometric Functions
Univalent Starlike Convex Uniformly convex Uniformly starlike Hadamard product Integral means Generalized hypergeometric functions
2008/6/30
Making use of the generalized hypergeometric functions, we introduce some generalized class of k-uniformly convex and starlike functions and for this class, we settle the Silverman's conjecture for th...