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.