Coefficient inequalities for certain classes of Ruscheweyh type analytic functions.
Coefficient inequalities for certain meromorphically -valent functions.
Coefficient inequalities for classes of uniformly starlike and convex functions.
Coefficient inequalities for concave and meromorphically starlike univalent functions
Let denote the open unit disk and f: → ℂ̅ be meromorphic and univalent in with a simple pole at p ∈ (0,1) and satisfying the standard normalization f(0) = f’(0)-1 = 0. Also, assume that f has the expansion , |z-p| < 1-p, and maps onto a domain whose complement with respect to ℂ̅ is a convex set (starlike set with respect to a point w₀ ∈ ℂ, w₀ ≠ 0 resp.). We call such functions concave (meromorphically starlike resp.) univalent functions and denote this class by resp.). We prove some coefficient...
Coefficient inequality for a function whose derivative has a positive real part.
Coefficient inequality for a function whose derivative has a positive real part of order
The objective of this paper is to obtain sharp upper bound for the function for the second Hankel determinant , when it belongs to the class of functions whose derivative has a positive real part of order
Coefficient inequality for transforms of parabolic starlike and uniformly convex functions
The objective of this paper is to obtain sharp upper bound to the second Hankel functional associated with the root transform of normalized analytic function belonging to parabolic starlike and uniformly convex functions, defined on the open unit disc in the complex plane, using Toeplitz determinants.
Coefficient multipliers on spaces of vector-valued entire Dirichlet series
The spaces of entire functions represented by Dirichlet series have been studied by Hussein and Kamthan and others. In the present paper we consider the space of all entire functions defined by vector-valued Dirichlet series and study the properties of a sequence space which is defined using the type of an entire function represented by vector-valued Dirichlet series. The main result concerns with obtaining the nature of the dual space of this sequence space and coefficient multipliers for some...
Coefficient problem for a class of Mocanu-Bazilevič functions
Coefficient problems for a class of analytic functions involving Hadamard products.
Coefficients estimates for functions in .
Coefficients in some classes defined by subordination to multivalent majorants
We present some results connected with estimation of the coefficients for some special class of functions holomorphic in the unit disc and defined by subordination to some multivalent functions.
Coefficients of inverse functions in a nested class of starlike functions of positive order.
Coefficients of the inverse of strongly starlike functions.
Coherent states and frames in the Bargman space of entire functions.
Cohomology of Vector-Valued Automorphic Forms.
Coincidence of some classes of universal functions.
Common multiples of operator polynomials with analytic coefficients.
Common zero sets of equivalent singular inner functions II
We study connected components of a common zero set of equivalent singular inner functions in the maximal ideal space of the Banach algebra of bounded analytic functions on the open unit disk. To study topological properties of zero sets of inner functions, we give a new type of factorization theorem for inner functions.
Commutant of multiplication operators in weighted Bergman spaces on polydisk
We study a certain operator of multiplication by monomials in the weighted Bergman space both in the unit disk of the complex plane and in the polydisk of the -dimensional complex plane. Characterization of the commutant of such operators is given.