Báo cáo toán học: "On a new family of generalized Stirling and Bell numbers" pps

... combinatorics 18 (2011), #P77 15 On a new family of generalized Stirling and Bell numbers Toufik Mansour Department of Mathematics, University of Haifa, 31905 Haifa, Israel toufik@math.haifa.ac.il Matthias ... J., to appear. [22] M .A. Mendez, P. Blasiak and K .A. Penson, Combinatorial approach to generalized Bell and Stirling numbers and boson normal ordering p...

Ngày tải lên: 08/08/2014, 14:23

... sequences. Although only known tech- niques [G] are used, these are sophisticated, and the problem serves as a useful study of these techniques, and the algebraic analysis gives partial information about ... t exp wzt 1+zt  , where L (r) w (f)= 1 r! w r ∂ r f ∂w r     w=1 and Θ w : w k → k!w k . The combinatorial nature of the transformations leads one to ask whether combinat...

Ngày tải lên: 07/08/2014, 06:20

... Department of Mathematics University of Toronto University of Toronto Toronto, Canada M5S 1A1 Toronto, Canada M5S 1A1 barbeau@math.utoronto.ca tanny@math.utoronto.ca Submitted: January 4, 1996; Accepted: ... Accepted: February 1, 1996. “There are patterns I must follow just as I must breathe each breath” (Paul Simon, Patterns, 1964) Abstract In an unpublished note, Golomb proposed a...

Ngày tải lên: 07/08/2014, 06:20

... Orthogonal Polynomials and Applications (VII SPOA) (Granada, 1991), J. Comput. Appl. Math. 49:1–3 (1993), 243–249. [6] A. L. Schmidt, “Legendre transforms and Ap´ery’s sequences”, J. Austral. Math. ... supported by an Alexander von Humboldt research fellowship and partially supported by grant no. 03-01-00359 of the Russian Foundation for Basic Research. the electronic journal of co...

Ngày tải lên: 07/08/2014, 08:20

... The Main Theorem We begin with some preliminaries about partitions and their conjugates. For a given partition π with parts each  N,wedenotebyf i (π) the number of appearances of i as a part of ... dealing with partitions whose parts are all  some given N.Welet¯π be that partition made up of the parts of π that are <N. In light of (11) we see that if N is a part of...

Ngày tải lên: 07/08/2014, 08:22

... descents, and [4] for some results on the number of excedances. Finally, a- derangements are a special case of a class of permutations, namely the set of all derangements of length n is a union of conjugacy ... permutations (or derangements, or a- derangements) of length n into q blocks, and showing that all blocks have the same size, and that almost all permutatio...

Ngày tải lên: 07/08/2014, 13:21

... in Theorem 2 is fairly standard. The idea is to take a random k-graph with appropriate edge probability, and then cleverly delete all copies of triangles from it. This approach was used by Krivelevich ... ρ(F 1 ) = 1 and ρ(F 2 ) = 2/3 so they are both greater than 1/2 and Theorem 5 applies. 3 Local Lemma The driving force of our upper bound argument, both in the semi-random phase...

Ngày tải lên: 07/08/2014, 21:20

... C. Evans, Partial Diff. Equations, American Math. Society, 1998. 5. C. Vargas an d M. Zuluaga, On a Nonlinear Dirichlet Problem Type at Resonance and Bifurcation, Partial Differential Equations, ... 836–899. 3. G. Diaz, J. I. Diaz, and G. Barles, Uniqueness and continum of foliated solution for a quasilinear elliptic equation with a non Lipschitz nonlinearity, Commun. In Partial D...

Ngày tải lên: 06/08/2014, 05:20

... growth, J. Math. Anal. Appl. 305 (2005) 291–295. 4. I. Gy˝ori and G. Ladas and P. H. Vlahos, Global attraction in a delay difference equation, Nonlin. Anal. 17 (1991) 473–479. 5. G. Karakostas, Ch. ... presentation of this paper. References 1. R. P. Agarwal, Difference Equations and Inequalities. Theory, Methods, and Ap- plications, Marcel Dekker Inc., New York, 2000. 2. Dang Vu G...

Ngày tải lên: 06/08/2014, 05:20

... Mannigfaltigkeiten”. Representation Categories of Matrix Quantum Groups of Type A 363 3. Bi-Galois Extensions Let A be a Hopf algebra over a field k.ArightA-comodule algebra is a right A- comodule with the structure of an algebra ... fact that γ is an algebra homomorphism. We assume it however, since the equations in (9) and (10) respect the multiplications in A and M ,...

Ngày tải lên: 06/08/2014, 05:20