Báo cáo sinh học: " Some results for the q-Bernoulli, q-Euler numbers and polynomials" ppt

... using the definitions of ζ q (s, x) and ζ q ,E (s, x), we can define the q-analogues of Dirichlet’s L-function. Some results for the q-Bernoulli, q-Euler numbers and polynomials Daeyeoul Kim 1 and ... q-Bernoulli, q-Euler numbers and polynomials related to the Bosonic and the Fermionic p-adic integral on Z p In this section, we provide some basic formulas...

Ngày tải lên: 18/06/2014, 22:20

... q)  , [x] k q = 1 2  k  i=0  k i  q i E i (x, q) + E k (x, q)  Some results for the q-Bernoulli, q-Euler numbers and polynomials Daeyeoul Kim 1 and Min-Soo Kim ∗2 1 National Institute for Mathematical Sciences, Doryong-dong, ... corresponds to the article as it appeared upon acceptance. Fully formatted PDF and full text (HTML) versions will be made available soon...

Ngày tải lên: 20/06/2014, 04:20

... q-Bernoulli, q-Euler numbers, and polynomials. 2. q-Bernoulli, q-Euler numbers and polynomials related to the Bosonic and the Fermionic p-adic integral on ℤ p In this section, we provide some basic formulas ... functions of the q-Bernoulli, q-Eule r numbers, and polynomials. We shall provide some basic formulas for the q-Bernoulli and q- Euler polynomials...

Ngày tải lên: 20/06/2014, 21:20

... participated in the analysis of the results and drafted the manuscript. AV participated in the analysis of the results and helped to draft the manu- script. AP designed the study, participated in the analysis of ... single-stranded RNA genome of negative polarity [1]. The large (L) segment encodes the viral RNA polymerase, the medium (M) seg- ment the two surfa...

Ngày tải lên: 19/06/2014, 08:20

... ≤ * D). Proof. The proof is trivial and therefore omitted. Since A ∗ ≤ B and A ≤ * B are equivalent to A ∗ ∗ ≤ B ∗ and A ∗ ∗ ≤ B ∗ , respectively, there- fore, for the rowwise partitioned matrix we have the ... A, B, C and D,ifA ≤ L C and B ≤ L D, then A + B≤ L C + D. A direct consideration is to see whether the star ordering has the same property. And the solution i...

Ngày tải lên: 21/06/2014, 00:20

... maintenance of these com- petencies. And the issue of whether the legal and regula- tory framework properly protects the rights of the healthcare provider to perform the life-saving interven- tions for ... health, and therefore as generalists they were unable to meet the needs of mothers and newborns. These trained health professionals are highly cost-effective as their...

Ngày tải lên: 18/06/2014, 17:20

... appear to encode only for the truncated form(s) of 3a and not the full-length 3a protein (Figure 1) and indicated that the functionality of full-length 3a is not essential for virus replication. ... protein and at least 2 truncated forms of 3a were dominantly present in the virion [9]. Further studies will reveal if the truncated forms of 3a, which results from frameshif...

Ngày tải lên: 19/06/2014, 08:20

... participated in the analysis of the results and drafted the manuscript. AV participated in the analysis of the results and helped to draft the manu- script. AP designed the study, participated in the analysis of ... not "break" the molecular clock (see below). The Lolland sequence was, therefore, not excluded from our data set. Next, we wanted to study wh...

Ngày tải lên: 20/06/2014, 04:20

... of Mathematical Analysis and Applications, vol. 331, no. 2, pp. 779–792, 2007. 3 T. Kim, “A note on some formulae for the q-Euler numbers and polynomials,” Proceedings of the Jangjeon Mathematical ... on Z p ,wedefinemultipletwistedq-Euler numbers and polynomials. We also find Witt’s type formula for multiple twisted q-Euler numbers and discuss some characterizat...

Ngày tải lên: 21/06/2014, 22:20

... (55). Therefore there exists a solution of the traction problem (50) if, and only if, the singular integral system (56) is solvable. On the other hand, there exists a solution γ ∈ [L p (Σ)] n of the ... satisfy the system (35). On the other hand, if ψ satisfies the system (35) then  Σ ψ ∂f ∂s ds = 0 for any f ∈ [C ∞ (R 2 )] 2 . This can be siproved by the same method in [1...

Ngày tải lên: 18/06/2014, 22:20