Bell Polynomials and Nonlinear Inverse Relations
Copyright policy )Bell Polynomials and Nonlinear Inverse Relations
By means of the Lagrange expansion formula, we establish a general pair of nonlinear inverse series relations, which are expressed via partial Bell polynomials with the connection coefficients involve an arbitrary formal power series. As applications, two examples are presented with one of them recovering the difficult theorems discovered recently by Birmajer, Gil and Weiner (2012 and 2019).
- Zhoukou Normal University China (People's Republic of)
- University of Salento Italy
Lagrange expansion formula, Exact enumeration problems, generating functions, Bell and Stirling numbers, Combinatorial identities, bijective combinatorics, partial Bell polynomials
Lagrange expansion formula, Exact enumeration problems, generating functions, Bell and Stirling numbers, Combinatorial identities, bijective combinatorics, partial Bell polynomials
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