A. Meir and J. W. Moon, The asymptotic behaviour of coe#cients of powers of certain generating functions, European J. Combin. 11 (1990) 581---587; MR1078714 (91m:05014). Home/Search Document Not in Database Summary Related Articles Check |
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Large deviations of combinatorial distributions II: Local limit.. - Hwang (1997) (11 citations) (Correct)
....for n = m valid for the widest possible range of m, but to show that for m lying in the interval n O(# n ) very precise asymptotic formulae can be obtained. These formulae are in close connection with our results in [17] Although local limit theorems receive a constant research interest [2, 3, 7, 14, 13, 24], our approach and results, especially Theorem 1, seem rarely discussed in a systematic manner. Recall that a lattice random variable X is said to be of maximal span h if X takes only values of the form b hk, k Z, for some constants b and h 0; and there does not exist b # and h # h such ....
A. Meir and J. W. Moon, The asymptotic behaviour of coe#cients of powers of certain generating functions, European Journal of Combinatorics, 11, 581--87 (1990).
Multivariate Asymptotics for Products of Large Powers with.. - Bender, al. (1999) (3 citations) (Correct)
....0 f 1 f [0 1 f ] For examp l e , when M is the set of primes, r 0 =0.5580260, 1 =0.263674, 2 =0.263815, and C = 0.194150 0.067667 . Example 4.2. Powers of an Inversion) Suppose w(x, y) xf(w,y) How do the coe#cients of [x ] w behave as k ##with n Meir and Moon [19] studied the case when y was absent because w(x) xf(w(x) is associated with a variety of labeled and unlabeled tree enumerations and w counts forests with k components. The introduction of y allows us to keep track of additional information (such as vertex degrees) but we can still follow ....
A. Meir and J. W. Moon, The asymptotic behaviour of coe#cients of powers of certain generating functions, Europ. J. Combin. 11 (1990) 581--587.
Series-Parallel Networks - Finch (2003) (Correct)
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A. Meir and J. W. Moon, The asymptotic behaviour of coe#cients of powers of certain generating functions, European J. Combin. 11 (1990) 581---587; MR1078714 (91m:05014).
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