An Approximate Riemann Mapping Theorem in Cn.
An area inequality for quasi-subordinate analytic functions
An Area Method for Systems of Univalent Functions Whose Ranges do not Overlap.
An Asymptotic Formula for the Derivatives of Orthogonal Polynomials of the Unit Circle.
An Estimate for Meromorphic Functions with Finite Spherical Surface Area Satisfying a Minimum Modulus Condition.
An estimate from below for the Markov constant of a Cantor repeller
An example concerning analytic functions with finite Dirichlet integrals
An example for the holomorphic sectional curvature of the Bergman metric
We study the behaviour of the holomorphic sectional curvature (or Gaussian curvature) of the Bergman metric of planar annuli. The results are then utilized to construct a domain for which the curvature is divergent at one of its boundary points and moreover the upper limit of the curvature at that point is maximal possible, equal to 2, whereas the lower limit is -∞.
An Expansion of the L- Kernel Over Domains in the Complex Plane.
An Extension of Becker's Univalence Condition.
An extension of Ozaki and Nunokawa's univalence criterion.
An extension of the region of variability of a subclass of univalent functions.
An extension of the univalence criterion for a family of integral operators
The main object of the present paper is to extend the univalence condition for a family of integral operators. Relevant connections of some of the results obtained in this paper with those in earlier works are also provided.
An extension of typically-real functions and associated orthogonal polynomials
Two-parameters extension of the family of typically-real functions is studied. The definition is obtained by the Stjeltjes integral formula. The kernel function in this definition serves as a generating function for some family of orthogonal polynomials generalizing Chebyshev polynomials of the second kind. The results of this paper concern the exact region of local univalence, bounds for the radius of univalence, the coefficient problems within the considered family as well as the basic properties...
An extension to the Owa-Srivastava fractional operator with applications to parabolic starlike and uniformly convex functions.
An extremal arclength problem in some classes of univalent and p-symmetric functions
An extremal problem for certain subharmonic functions in the plane.
An extremal problem for harmonic measure.
An extremal problem for polynomials with a prescribed value at a given point of the real axis.
An F. and M. Riesz theorem for a class of infinitely connected regions