Gauss curvature estimates for minimal graphs
General integral operator defined by Hadamard product
General univalence criteria in the disk: Extensions and extremal function.
Generalization of a Conjecture in the Geometry of Polynomials
In this paper we survey work on and around the following conjecture, which was first stated about 45 years ago: If all the zeros of an algebraic polynomial p (of degree n ≥ 2) lie in a disk with radius r, then, for each zero z1 of p, the disk with center z1 and radius r contains at least one zero of the derivative p′ . Until now, this conjecture has been proved for n ≤ 8 only. We also put the conjecture in a more general framework involving higher order derivatives and sets defined by the zeros...
Generalization of certain subclasses of analytic functions.
Generalization of Ehrlich-Kjurkchiev Method for Multiple Roots of Algebraic Equations
In this paper a new method which is a generalization of the Ehrlich-Kjurkchiev method is developed. The method allows to find simultaneously all roots of the algebraic equation in the case when the roots are supposed to be multiple with known multiplicities. The offered generalization does not demand calculation of derivatives of order higher than first simultaneously keeping quaternary rate of convergence which makes this method suitable for application from practical point of view.
Generalization of Sălăgean operator for certain analytic functions.
Generalization of some extremal problems on non-overlapping domains with free poles
Some results related to extremal problems with free poles on radial systems are generalized. They are obtained by applying the known methods of geometric function theory of complex variable. Sufficiently good numerical results for γ are obtained.
Generalization properties for certain analytic functions.
Generalizations of p-valent functions via the Hadamard product.
Generalized alpha-close-to-convex functions.
Generalized classes of starlike and convex functions of order .
Generalized condensers and conformal properties of riemannian manifolds with at least two ends
Generalized dimension compression under mappings of exponentially integrable distortion
We prove a dimension compression estimate for homeomorphic mappings of exponentially integrable distortion via a modulus of continuity result by D. Herron and P. Koskela [Mappings of finite distortion: gauge dimension of generalized quasicircles, Illinois J. Math., 2003, 47(4), 1243–1259]. The essential sharpness of our estimate is demonstrated by an example.
Generalized fractional calculus to a subclass of analytic functions for operators on Hilbert space.
Generalized Fredholm eigenvalues of a Jordan curve
Generalized function fractional integration operators in some classes of analytic functions
Generalized integral operator and multivalent functions.
Generalized John disks
We establish the basic properties of the class of generalized simply connected John domains.
Generalized mean porosity and dimension.