The classical Gauss hypergeometric function and the Kumar confluent are defined using a Pochammer symbol , factorial function. This research paper will present two-parameter Pochhammer symbol, discuss some of its properties such as recursive formulae integral representation. In addition, generalized functions new were also discussed.

We construct an algebra of generalized functions endowed with a canoni­ cal embedding of the space of Schwartz distributions. We offer a solution to the problem of multiplication of Schwartz distributions similar to but different from Colombeau’s solution. We show that the set of scalars of our algebra is an algebraically closed field unlike its counterpart in Colombeau theory, which is a ring ...

We consider the penalized generalized estimating equations (GEEs) for analyzing longitudinal data with high-dimensional covariates, which often arise in microarray experiments and large-scale health studies. Existing high-dimensional regression procedures often assume independent data and rely on the likelihood function. Construction of a feasible joint likelihood function for high-dimensional ...