𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On a generalization of polynomials in the ballot problem

✍ Scribed by Toshihiro Watanabe


Publisher
Elsevier Science
Year
1986
Tongue
English
Weight
486 KB
Volume
14
Category
Article
ISSN
0378-3758

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


q-generalization of a ballot problem
✍ C. Krattenthaler; S.G. Mohanty πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 721 KB

n-dimensional lattice paths which do not touch the hyperplanes xi-xi + I = -1, i = 1,2, , n -1, and x,-x1 = -1 -K arc enumerated by certain statistics, one of which is MacMahon's major index, the others being variations of it. By a reflection-like proof, a formula involving determinants is obtained.

A Generalization of the Bernstein Polyno
✍ Jia-Ding Cao πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 136 KB

We give an interesting generalization of the Bernstein polynomials. We find sufficient and necessary conditions for uniform convergence by the new polynomials, and we generalize the Bernstein theorem.