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.
Inequalities defining certain subclasses of analytic and multivalent functions involving fractional calculus operators.
Inequalities for entire functions of finite degree and for polynomials.
Inequalities for Polynomials with a Prescribed Zero.
Inequalities for the maximum modulus of the derivative of a polynomial.
Inequalities for the polar derivative of a polynomial.
Inequalities for zeros of entire functions.
Inequalities in the complex plane.
Inequalities involving a class of analytic functions
Inequalities involving multipliers for multivalent harmonic functions.
Inequalities of Grunsky-Nehari type for pairs of vector functions
Infinitesimal geometry of quasilinear mappings.