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

... 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

... text (HTML) versions will be made available soon. Further results of the estimate of growth of entire solutions of some classes of algebraic differential equations Advances in Difference Equations ... a number r ∈ (0, 1); 2. a sequence of complex numbers z n , |z n | < r; Further results of the estimate of growth of entire solutions of...

Ngày tải lên: 20/06/2014, 20:20

... 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

... in Difference Equations 2012, 2012:1 http://www.advancesindifferenceequations.com/content/2012/1/1 Page 5 of 8 RESEARCH Open Access Some results on difference polynomials sharing values Yong ... al.: Some results on difference polynomials sharing values. Advances in Difference Equations 2012 2012:1. Submit your manuscript to a journal and benefi t from: 7 Convenien...

Ngày tải lên: 20/06/2014, 21:20

... R(A*)=R (B*), then A + B ∗ ≤ C + D . Proof. The proof is trivial and therefore omitted. □ 3 Minus partial ordering In this section, we present some results on the minus orderings of the matrix product and ... China Abstract Some results relating to the block matrix partial orderings and the submatrix partial orderings are given. Special attention is paid to...

Ngày tải lên: 21/06/2014, 00:20

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Ngày tải lên: 05/08/2014, 09:46

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Ngày tải lên: 05/08/2014, 10:20

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Ngày tải lên: 05/08/2014, 15:20

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Ngày tải lên: 05/08/2014, 15:20

... ∈ D 4 (f) then the sequence splits. Proof. Since E ∈ D 4 (f) andL f (α, ) ∈ D 3 (f) (see Proposition 2.11 in [1 ]) then (E,L f (α, )) ∈ S (see Proposition 2.9 in [1 ]). Then by Lemma 1.7 in [1] there ... ν( 2) = max((k, j),m( 2)) . Next we apply ( 4) to k =2,j = ν( 2) and choose ν( 3) = max((k, j),m( 3)) . Continuing this way and by putting a nk = a...

Ngày tải lên: 06/08/2014, 05:20

... 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

... 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

... several counting problems on the square lattice L n . There the authors gave the following bounds for the asymp- totics of f(n), the number of forests of L n ,and (n), the number of acyclic orienta- tions ... y>0andz t y =1. the electronic journal of combinatorics 10 (2003), #R4 15 Improved bounds for the number of forests and acyclic...

Ngày tải lên: 07/08/2014, 07:21

... symmetric functions of [21]; cf. formula (3.7) in that paper. Moreover, under the specialization a i = −i + 1 for all i ∈ Z the double Schur functions become the shifted Schur functions of [22] in the variables ... θ due to the hook formula. Under the specialization a i = −i + 1, for any partition µ we have a µ = (µ 1 , µ 2 − 1, . . . ). The following formula fo...

Ngày tải lên: 07/08/2014, 21:21