Báo cáo toán học: "Some Results on Mid-Point Sets of Sets of Natural Numbers" doc

... (see [11]). In this paper we give some results of type of Shcherbina on the relation between pluriporlarity of graphs and holomorphicity of complex-valued functions defined on a domain in C n . In particular ... Take a continuous function h(z) on the unit disc ∆ = {z ∈ C : |z| < 1} but h is not holomorphic on ∆ satisfying condition h(z)=g(z, 0) on {|z| < 1 3 }∪{ 2 3 &...

Ngày tải lên: 06/08/2014, 05:20

... addition, w e will use the notations l(f) to denote the exponent of convergence of zero sequences of meromorphic function f(z); s(f) to denote the order of f (z). We say that meromorphic functions ... Nevanlinna theory based on difference operators. Ishizaki and Yanagihara [6] developed a version of Wiman-Valiron theory for difference equations of entire functions of small gro...

Ngày tải lên: 20/06/2014, 21:20

Ngày tải lên: 05/08/2014, 09:46

Ngày tải lên: 05/08/2014, 10:20

... 2006 Abstract. The aim of this paper is to give characterizations of subspaces and quo- tients of  ∞ (I)  ⊗ Π L f (α, ∞) and  1 (I)  ⊗ Π L f (α, ∞)-spaces which are an extension of results of Apiola [1] ... y)= x, p 2 (x, y)=y are the canonical projections. By the Proposition 3.2 the second Some Re sults on the Properties D 3 (f) and D 4 (f) 147 8. D.Vogt , On two clases...

Ngày tải lên: 06/08/2014, 05:20

... proved some results on mid-point sets of two linear sets in the light of the Lebesgue density. In the present paper the authors restrict their investigations into mid-point sets of sets of natural ... authors study some properties of the mid-point sets of sets of natural numbers using upper (lower) asymptotic density of sets of natural numbers....

Ngày tải lên: 06/08/2014, 05:20

... span a diagonal lies on one of the lines of symmetry of the [4, 2t] 1 configuration, which has the symmetries of a regular m-gon. For the chosen point of intersection to lie on a line of symmetry, ... 4] 1 configuration of size m consists of two concentric m-gons corresponding to the two symmetry classes of points. It is denoted as m#a b c d ,wherea and c are the spans of...

Ngày tải lên: 07/08/2014, 13:21

... formulae of chromatic polynomials of non-uniform hypergraphs were men- tioned by Allagan [2]. He considered the special case of non-uniform elementary cycles H m which are constructed from an m-gon, ... if and only if m ≤ 4, m 2 ≥ m − 1. 1 Notation and preliminaries Most of the notation concerning graphs and hypergraphs is based on Berge [4]. A hypergraph H = (V, E) consists of a...

Ngày tải lên: 08/08/2014, 01:20

... Sciences, Doryong-dong, Yuseong-gu Daejeon 305-340, South Korea 2 Department of Mathematics, KAIST, 373-1 Guseong-dong, Yuseong-gu, Daejeon 305-701, South Korea Authors’ contributions The authors ... Correspondence: minsookim@kaist.ac.kr 2 Department of Mathematics, KAIST, 373-1 Guseong-dong, Yuseong-gu, Daejeon 305-701, South Korea Full list of author information is available at the en...

Ngày tải lên: 20/06/2014, 21:20

... then  AB  ∗≤  CD  . Proof. In view of (1.4), according to the assumptions, we have  AB  ∗  AB  =  AB  ∗  CD  . On the other hand, on account of (1.4), from the conditions A * ≤ C and B * ≤ ... 2011:54 http://www.journalofinequalitiesandapplications.com/content/2011/1/54 Page 3 of 7 RESEARC H Open Access Some results on the partial orderings of block matrices Xifu L...

Ngày tải lên: 21/06/2014, 00:20