Further properties of a bivariate gamma-type function and its probability distribution

Saboor and ahmad [4] defined a bivariate gamma-type function involving a confluent hypergeometric function of two variables and discussed some of its mathematical properties. they also gave its probability density function and derived some of its statistical properties. saboor et al. [5] generalized their probability density function by introducing one more parameter and obtained its generalized moment generating function in terms of a generalized hypergeometric function using inverse mellin transform technique and discussed its application. in this paper,contiguous function relations and pure recurrence relationships of a bivariate gamma-type function defined by saboor and ahmad [4] are derived. explicit expression for reliability for probability density function defined by saboor et al. [5] is also discussed. © 2013 pakistan journal of statistics.