Thomas Klausner: 2-admissible Functions and Gaussian Limiting Distribution

We give a possible definition of 2-admissible functions (one possible generalization of Hayman-admissibility to bivariate functions) such that the coefficients $a_{n,k}$ of $f(x,u)$ satisfy a central limit theorem. One typical example is $f(x,u) = \exp(u * (\exp(x) -1))$, where the coefficients are the Stirling numbers of the second kind.

We also provide a list of closure properties of these kind of 2-admissible functions which can be automatically checked with the help of a MAPLE program.

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