On recurrence relations for the probability function of multivariate generalized poisson distribution

Multivariate Poisson distribution is a well known distribution in multivariate discrete distributions. The author: Kawamura had discussed around the distribution in [1], [2] and shown recurrence relations for the distribution in [3], [4]. . These are the recurrence relations in bivariate case, see [3], [4]. In this paper it will be discussed that a similar relation also holds in the case of generalized multivariate distribution. A relation between algebraic structure of the range space and its probability function concerning the distribution will be investigated in detail, especially,by the recurrencerelations: .