Extended admissible functions and Gaussian limiting distributions
نویسندگان
چکیده
We consider an extension of Hayman’s notion of admissibility to bivariate generating functions f(z, u) that have the property that the coefficients ank satisfy a central limit theorem. It is shown that these admissible functions have certain closure properties. Thus, there is a large class of functions for which it is possible to check this kind of admissibility automatically. This is realized with help of a MAPLE program that is also presented. We apply this concept to various combinatorial examples.
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عنوان ژورنال:
- Math. Comput.
دوره 74 شماره
صفحات -
تاریخ انتشار 2005