In this paper, we introduce the idea of generalized relative order (respectively generalized relative lower order) of entire functions of two complex variables. Hence, we study some growth properties of entire functions of two complex variables on the basis of the definition of generalized relative order and generalized relative lower order of entire functions of two complex variables.

This paper reformulates a time-discontinuous finite element method (TD-FEM) based on a new class of shape functions, called complex Fourier hereafter, for solving two-dimensional elastodynamic problems. These shape functions, which are derived from their corresponding radial basis functions, have some advantages such as the satisfaction of exponential and trigonometric function fields in comple...

Departamento de Parasitologia, ICB2, USP, 05508-900 São Paulo, SP, Brasil *Departamento de Bioquímica e Immunologia, UFMG, Belo Horizonte, MG, Brasil **Laboratorio de Doença de Chagas, CPqRR-Fiocruz, Belo Horizonte, MG, Brasil ***Department of Biochemistry, University of Dundee, Dundee, Scotland,United Kingdom ****Departamento de Immunologia, Microbiologia e Parasitologia, Unifesp, São Paulo, S...

This implies that in this case n2r is the kernel of the natural homomorphism of 7r2 into the 2-dimensional integral homology group of X. Comparing this with recent results of Hopf5 yields numerous examples of spaces with k3 $ 0. 5. Generalizations.-1°: The construction of k3 generalizes in an obvious fashion to yield a cohomology class kn+1 e Hn+l(irj, 7r,,), provided that 7ri = 0 for 1 < i < n...

Abstract. In this paper we define and verify a subclass of harmonic univalent functions involving the argument of complex-value functions of the form f = h + ¯g and investigate some properties of this subclass e.g. necessary and sufficient coefficient bounds, extreme points, distortion bounds and Hadamard product.Abstract. In this paper we define and verify a subclass of harmonic univalent func...