Images of Disks under Convex and Starlike Functions.
Improved initialization of the accelerated and robust QR-like polynomial root-finding.
Inclusion and neighborhood properties for certain classes of multivalently analytic functions associated with the convolution structure.
Inclusion and neighborhood properties of certain subclasses of analytic, multivalent functions of complex order involving convolution.
Inclusion and neighborhood properties of certain subclasses of analytic and multivalent functions of complex order.
Inclusion and neighborhood properties of certain subclasses of p -valent functions of complex order defined by convolution
In this paper we introduce and investigate three new subclasses of p-valent analytic functions by using the linear operator Dmλ,p(f * g)(z). The various results obtained here for each of these function classes include coefficient bounds, distortion inequalities and associated inclusion relations for (n, θ)-neighborhoods of subclasses of analytic and multivalent functions with negative coefficients, which are defined by means of a non-homogenous differential equation.
Inclusion and neighborhood properties of some analytic and multivalent functions.
Inclusion of the roots of a polynomial based on Gerschgorin's theorem.
Inclusion Properties for Certain Classes of Analytic Functions Involving a Family of Fractional Integral Operators
2000 Math. Subject Classification: 30C45A known family of fractional integral operators is used here to define some new subclasses of analytic functions in the open unit disk U. For each of these new function classes, several inclusion relationships are established.
Inclusion properties for certain classes of meromorphic functions associated with a family of linear operators.
Inclusion properties for certain subclasses of analytic functions associated with the Dziok-Srivastava operator.
Inclusion properties for certain subclasses of analytic functions defined by a linear operator.
Inclusion properties of certain subclass of analytic functions defined by multiplier transformations
Let A denote the class of analytic functions with normalization [...] in the open unit disk [...] Set [...] and define [...] in terms of the Hadamard product [...] In this paper, we introduce several new subclasses of analytic functions defined by means of the operator [...] [...] .Inclusion properties of these classes and the classes involving the generalized Libera integral operator are also considered.
Inclusion properties of certain subclasses of analytic functions defined by generalized Sălăgean operator
Let A denote the class of analytic functions with the normalization f(0) = f'(0) - 1 = 0 in the open unit disc U = {z : |z| < 1}. Set [...] and define ∞nλ, μ in terms of the Hadamard product [...] . In this paper, we introduce several subclasses of analytic functions defined by means of the operator Inλ, μ A → A, given by [...] . Inclusion properties of these classes and the classes involving the generalized Libera integral operator are also considered.
Inclusion relations between classes of hypergeometric functions.
Inclusion relationships between classes of functions defined by subordination
The purpose of the present paper is to investigate various inclusion relationships between several classes of analytic functions defined by subordination. Many interesting applications involving the well-known classes of functions defined by linear operators are also considered.
Induced hyperbolicity for one-dimensional maps.
Inequalities associating hypergeometric functions with planar harmonic mappings.
Inequalities concerning polar derivative of polynomials
In this paper we obtain certain results for the polar derivative of a polynomial [...] , having all its zeros on [...] which generalizes the results due to Dewan and Mir, Dewan and Hans. We also obtain certain new inequalities concerning the maximum modulus of a polynomial with restricted zeros.
Inequalities concerning starlike functions and their -th root.