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COMBINATORICS
1998
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13 years 5 months ago
A Multivariate Lagrange Inversion Formula for Asymptotic Calculations
The determinant that is present in traditional formulations of multivariate Lagrange inversion causes difficulties when one attempts to obtain asymptotic information. We obtain an...
Edward A. Bender, L. Bruce Richmond
COMBINATORICS
1999
87views more  COMBINATORICS 1999»
13 years 5 months ago
Multivariate Asymptotics for Products of Large Powers with Applications to Lagrange Inversion
An asymptotic estimate is given for the coefficients of products of large powers of generating functions. This theorem and another local limit theorem which is useful for conditio...
Edward A. Bender, L. Bruce Richmond
EJC
2007
13 years 5 months ago
On the number of matchings of a tree
In a paper of Klazar, several counting examples for rooted plane trees were given, including matchings and maximal matchings. Apart from asymptotical analysis, it was shown how to...
Stephan G. Wagner