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- W2945959191 abstract "The Delannoy numbers d ( n , k ) count the number of lattice paths from ( 0 , 0 ) to ( n − k , k ) using steps ( 1 , 0 ) , ( 0 , 1 ) and ( 1 , 1 ) . We show that the zeros of all Delannoy polynomials d n ( x ) = ∑ k = 0 n d ( n , k ) x k are in the open interval ( − 3 − 2 2 , − 3 + 2 2 ) and are dense in the corresponding closed interval. We also show that the Delannoy numbers d ( n , k ) are asymptotically normal (by central and local limit theorems)." @default.
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- W2945959191 date "2019-08-01" @default.
- W2945959191 modified "2023-10-17" @default.
- W2945959191 title "Analytic aspects of Delannoy numbers" @default.
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- W2945959191 doi "https://doi.org/10.1016/j.disc.2019.04.003" @default.
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