$q$-Exponential Families

Kent E. Morrison
2004 Electronic Journal of Combinatorics  
We develop an analog of the exponential families of Wilf in which the label sets are finite dimensional vector spaces over a finite field rather than finite sets of positive integers. The essential features of exponential families are preserved, including the exponential formula relating the deck enumerator and the hand enumerator.
doi:10.37236/1789 fatcat:utkom2j6kbec5nopvexyev4dbq