Báo cáo toán học: "Some symmetric identities involving a sequence of polynomials" potx

... the article as it appeared upon acceptance. Fully formatted PDF and full text (HTML) versions will be made available soon. Lyapunov-type inequalities for a class of even-order differential equations Journal ... Yang, X, Kim, Y, Lo, K: Lyapunov-type inequalities for a class of quasilinear systems. Math. Comput. Model. 53, 1162–1166 (2011) [13] Zhang, Q, Tang, XH: Ly...

Ngày tải lên: 20/06/2014, 21:20

... upon acceptance. Fully formatted PDF and full text (HTML) versions will be made available soon. Some properties of an integral operator defined by convolution Journal of Inequalities and Applications ... (http://creativecommons.org/licenses /by/ 2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited....

Ngày tải lên: 20/06/2014, 21:20

... − 2 3  2π 2 − 46 3  . The fourth derivative of the HC on the argument n, and the common radius is of the form Figure 8 The HC and its derivative with the HC maximum location and optimum for the value of the degree ... 2)  . In general, the HC of the mth derivative of n can be defined on the basis of the pro- duct of polygamma (psi) polynomial of t...

Ngày tải lên: 20/06/2014, 21:20

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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

... 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

... passes through the top and bottom left domino of C 0 ;ifk blocks were found, we have a variant γ(k +1) ì or (k +1) ì . Some bijective correspondences involving domino tableaux Marc A. A. van Leeuwen Universit´e ... and to the right of those of T 0 . 7 Đ2. Various bijective correspondences for domino tableaux. In this section we formulate three results about domino tablea...

Ngày tải lên: 07/08/2014, 06:20

... + 1), and the Eulerian numbers count permutations accord- ing to their number of descents. Theorem 1.1. Let A(m, j) denote the Eulerian numbers, i.e., the number of permutations in the symmet- ric ... 2)x n ≤  n k=1 x k + 1}. The question of finding Pr  x i−1 < 0 + x 1 + x 2 + . . . + x n + 1 n + 2 ≤ x i  3 Some geometric probability problems involving the Eul...

Ngày tải lên: 07/08/2014, 06:22

... bounds on the size of union-free families. the electronic journal of combinatorics 5 (1998), # R39 11 4 Lower bound on f We give a construction of a (strongly) union-free family of subsets of ... ≤ n  i=1 H(2p i − p 2 i ) ≤ nφ(p) (since pn =  p i ). Therefore αn ≤ 1 2 [β(p)+φ(p)+o(1)]n. New Bounds for Union-free Families of Sets Don Coppersmith (email: copper...

Ngày tải lên: 07/08/2014, 06:22

... into two subsets not containing in nite subsets of the form g + U where U = −U. Such subsets were called symmetric and groups that can be partitioned into two subsets not containing in nite symmetric ... proof of Theorem 1 is complete. In [12] it was proved that in any 3-coloring, every uncountable Abelian group G of regular cardinality contains either a monochrome sy...

Ngày tải lên: 07/08/2014, 07:21

... completes our proof since the manipulations at the beginning of the section prove that the two quotients in (5.42) have the same Hilbert series. References [1] Yu. Berest, P. Etingof and V. Ginzburg, ... QI m (D n ) of m-quasi-invariants of D n . More precisely we have the electr onic jou rnal of combinatorics 12 (2005), #R20 8 Proof Because of uniqueness of the e...

Ngày tải lên: 07/08/2014, 08:22

... New upper bound for a class of vertex Folkman numbers N. Kolev Department of Algebra Faculty of Mathematics and Informatics “St. Kl. Ohridski” University of So a 5 J. Bourchier blvd, 1164 So a BULGARIA N. ... ≥ max {a 1 , ,a r }. Folkman [3] proved that there exists a graph G such that G → (a 1 , ,a r )andcl(G)=max {a 1 , ,a r }. Therefore F (a 1 , ,a r ; q...

Ngày tải lên: 07/08/2014, 13:21

... Jan 14, 2010 Mathematics Subject Classifications: 0 5A1 9, 11B68 Abstract In this paper we establish some symmetric identities on a sequence of polynomials in an elementary way, and some known identities ... electronic journal of combinatorics 17 (2010), #N7 2 Some symmetric identities involving a sequence of polynomials ∗ Yuan He Department of Mathematics, Northwe...

Ngày tải lên: 08/08/2014, 01:20

... electronic journal of combinatorics 17 (2010), #R34 10 MacMahon’s theorem for a set of permutations with given descent indices and right-maximal records A. Dzhumadil’daev Institute of Mathematics, Pushkin ... by r[max, i](σ) the set of all right-maximal indices of σ, and let r[max, v](σ) denote the set of all right-maximal values. Note that any...

Ngày tải lên: 08/08/2014, 12:22