Báo cáo toán học: "Some Results on the Relation Between Pluripolarity of Graphs and Holomorphicity" ppt

... 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 we establish the relation between the Some ... of graphs and holomorphicity of complex-valued functions. In particular, we investigate the relation between the pluripolarity of graphs and...

Ngày tải lên: 06/08/2014, 05:20

... q 2 y}. and p 1 (x, 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 of (F ... ∞) → H 0 is continuous linear and q ◦ R = id, Hence, R is the right inverse of q and the proposition is proved.  4.ProofofMainTheorem (i) The sufficiency is obvious. Now...

Ngày tải lên: 06/08/2014, 05:20

... q-analogue of the Riemann’s ζ-functi ons, the Hurwitz ζ-functions, and the Dirichlet’s L-functions. We prove that the value of their functions Kim and Kim Advances in Difference Equations 2011, ... properties for the q-Bernoulli, Euler num- bers, and polynomials related to the bosonic and the fermionic p-adic integral on ℤ p . In Section 3, we obtain the generati...

Ngày tải lên: 20/06/2014, 21:20

... q-analogues of ζ-type functions; q-analogues of the Dirichlet’s L-functions. 1. Introduction Carlitz [1,2] introduced q-analogues of the Bernoulli numbers and polynomials. From that time on these and other ... Z p , Q p , and C p denote the ring of p-adic integers, the field of p-adic numbers, and the completion of the algebraic closure of Q p , respectively...

Ngày tải lên: 18/06/2014, 22:20

... q-analogue of the Riemann’s ζ-functions, the Hurwitz ζ-functions, and the Dirichlet’s L-functions. We prove that the value of their functions at non-positive integers can be represented by the q-Bernoulli, ... Z p , Q p , and C p denote the ring of p-adic integers, the field of p-adic numbers, and the completion of the algebraic closure of Q p , respectively...

Ngày tải lên: 20/06/2014, 04:20

... fundamental results and the standard notations of the Nevanlinna theory (e.g., see [1-3]). In addition, w e will use the notations l(f) to denote the exponent of convergence of zero sequences of meromorphic ... let l’ and l’’ be, respectively, the exponent of convergence of the zeros and poles of f. Then for any given ε >0, there exists a set E ⊂ (1, ∞) o...

Ngày tải lên: 20/06/2014, 21:20

... question is that whether the partitioned matrices  AB   or  A B  and  CD   or  C D  havethesameorderings,andthesolutions will be given in the following sections. Also, the relations between A ∗ ≤ C , B ∗ ≤ D and A ... H). Recently, the relationships between orderings defined in (1.2)-(1.7) and their powers with the emphasis laid on indicating classes of mat...

Ngày tải lên: 21/06/2014, 00:20

Ngày tải lên: 05/08/2014, 09:46

Ngày tải lên: 05/08/2014, 10:20

... A)=R(A). With the usual notations N is the set of natural numbers and R + is the set of positive rational numbers. One may recall here the notion of asymptotic density of a set of positive integers which ... [1]. Then Ganguly and Majumdar [3] proved some results on mid-point sets of two linear sets in the light of the Lebesgue density. In the present paper...

Ngày tải lên: 06/08/2014, 05:20