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Ballot theorem and lattice path crossings |
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| Authors: | Malcolm Kern Stanley Walter |
| Abstract: | We consider lattice paths which cross the diagonal exactly r times, and by a simple method determine the number of such paths when the endpoint is given. Then as a byproduct we easily obtain Feller's (1968, p.84) result for crossings when the length is given. |
| Keywords: | Ballot problem crossing the diagonal lattice paths Primary 60C05 |