B. Salvy. Examples of automatic asymptotic expansions. SIGSAM Bulletin, 25(2):4-17, April 1991. Home/Search Document Details and Download
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On Asymptotics Of Certain Recurrences Arising In Universal Coding - Szpankowski (1997) (1 citation) (Correct)
....j = Gamma e n p n 3 1 2 3 16n O(n Gamma2 ; n n n = e Gamman p 2n 1 1 12n O(n Gamma2 ) Plugging this into (13) one can derive the asymptotic expansion for D n (m) Actually, we use directly Maple (more precisely, equivalent program thanks to B. Salvy [8]) to extract coefficients of (B(z) Gamma 1) m . In fact, equivalent directly gives e Gamman [z n ] B(z) Gamma 1) m = n m 2 Gamma1 2 m 2 Gamma( m 2 ) Gamma n m 2 Gamma 3 2 2 m 2 Gamma 1 2 2m 3 Gamma( m 2 Gamma 1 2 ) n m 2 Gamma2 2 m 2 m(m ....
B. Salvy, Examples of Automatic Asymptotic Expansions, SIGSAM Bulletin, 25, 4--17, 1991.
On Asymptotics Of Certain Recurrences Arising In Universal Coding - Szpankowski (1998) (1 citation) (Correct)
....n of (8) we shall use the singularity analysis and transfer theorems of Flajolet and Odlyzko [3] which allow us to compute separately the coefficients for every function involved in the asymptotic expansion. Actually, we use directly Maple (more precisely, equivalent program thanks to B. Salvy [11]) to extract coefficients of (B(z) Gamma 1) m . In fact, equivalent directly gives e Gamman [z n ] B(z) Gamma 1) m = n m 2 Gamma1 2 m 2 Gamma( m 2 ) Gamma n m 2 Gamma 3 2 2 m 2 Gamma 1 2 2m 3 Gamma( m 2 Gamma 1 2 ) n m 2 Gamma2 2 m 2 m(m ....
B. Salvy, Examples of Automatic Asymptotic Expansions, SIGSAM Bulletin, 25, 4--17, 1991.
Computer Algebra Libraries for Combinatorial Structures - Flajolet, Salvy (1995) (2 citations) Self-citation (Salvy) (Correct)
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Salvy, B. (1991b, April). Examples of automatic asymptotic expansions. SIGSAM Bulletin 25(2), 4--17.
Extended Admissible Functions And Gaussian Limiting.. - Drmota, Gittenberger.. (Correct)
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B. Salvy. Examples of automatic asymptotic expansions. SIGSAM Bulletin, 25(2):4-17, April 1991.
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B. Salvy, Examples of automatic asymptotic expansions, SIGSAM Bulletin, 25 (No. 2, 1991), 4--17.
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