On Associated and Generalized Lah Numbers and Applications to Discrete Distributions
نویسندگان
چکیده
Bin, r, k) = 0 fo r k > n, B(n9 r9 0) = 0 , Bin, r, 1) = r(r + l ) . . . ( p + n 1 ) , Bin, v, ri) = v and Bin, ls k) = \L(n9 k) | , t h e s i g n l e s s Lah numbers ( see Riordan [ 1 2 ] , p . 4 4 ) . Ahuja & Enneking have a l s o ob ta ined (see [2]) t he fo l lowing r e l a t i o n s for t he B(n9 r9 k)'s: Bin + 1, v9 k) = in + rk)B(n9 v9 k) + vBin, r, k 1 ) , (2) and [Bin9 v9 k)] > Bin, v, k + l )5 (w, v, k 1) f or fc = 2 , 3 5 . . . , n 1. (3)
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