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 Fueter's result to
Fueter's result (see [6,8]) on inducing quaternionic regular functions from holomorphic functions of a complex variable is extended to Euclidean spaces . It is then proved to be consistent with M. Sce's generalization for being odd integers [6].
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 of uniqueness and value sharing of meromorphic functions concerning differential polynomials
The motivation of this paper is to study the uniqueness problems of meromorphic functions concerning differential polynomials that share a small function. The results of the paper improve and generalize the recent results due to Fengrong Zhang and Linlin Wu [13]. We also solve an open problem as posed in the last section of [13].
Generalization properties for certain analytic functions.
Generalizations of growth constants, I
Generalizations of p-valent functions via the Hadamard product.
Generalizations on the results of Cao and Zhang
We establish some uniqueness results for meromorphic functions when two nonlinear differential polynomials and share a nonzero polynomial with certain degree and our results improve and generalize some recent results in Y.-H. Cao, X.-B. Zhang (2012). Also we exhibit two examples to show that the conditions used in the results are sharp.
Generalized alpha-close-to-convex functions.
Generalized analytic functions with applications to singular ordinary and partial differential equations [Book]
Generalized Cesàro operators on certain function spaces
Motivated by some recent results by Li and Stević, in this paper we prove that a two-parameter family of Cesàro averaging operators is bounded on the Dirichlet spaces . We also give a short and direct proof of boundedness of on the Hardy space for 1 < p < ∞.
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 Dirichlet series and -functions
Generalized divisor problem.
Generalized fractional calculus to a subclass of analytic functions for operators on Hilbert space.
Generalized Fredholm eigenvalues of a Jordan curve