It is suggested that the (p, q)-hypergeometric series studied by Burban and Klimyk (in Integral Transforms and Special Functions 2 (1994) 15-36) can be considered as a special case of a more general (P, Q)-hypergeometric series. 1. Introduction I propose a general (P, Q)-hypergeometric series. In this, I am inspired mainly by the paper of Burban and Klimyk [1] titled " P, Q-differentiation, P, ...

The inaccurate placement of minority students in special education programs can take various forms including overrepresentation, underrepresentation, and misidentification. First, overrepresentation occurs when the percentage of minority students in special education programs is greater than that in the school population as a whole. Second, underrepresentation occurs when students with disabili...

Whenever we encounter a research finding based on the interpretation of a p value from a statistical test, whether we realise it or not, we are discussing the result of a formal hypothesis test. This is true irrespective of whether the test involves comparisons of means, Odds Ratios (ORs), regression results or other types of statistical tests. As readers of research, it is important to underst...

a famous theorem of schur states that for a group $g$ finiteness of $g/z(g)$‎ ‎implies the finiteness of $g'.$ the converse of schur's theorem is an interesting problem which has been considered by some‎ ‎authors‎. ‎recently‎, ‎podoski and szegedy proved the truth of the converse of schur's theorem for capable groups‎. ‎they also established an explicit bound for the index of the center of such...

We define the reduced horseshoe resolution and the notion of conjoined pairs of ideals in order to study the minimal graded free resolution of a class of p-Borel ideals and recover Pardue’s regularity formula for them. It will follow from our technique that the graded betti numbers of these ideals do not depend on the characteristic of the base field k.