The purpose of this paper is to derive a new Bailey pair and three WP-Bailey pairs from four summation formulas the multibasic hypergeometric series. As applications, we will use them obtain many transformation for basic

karyotype of river loach turcinoemacheilus kosswigi from the euphrates river, turkey was investigated using conventional giemsa-staining and c-banding. two females and two males were analyzed. diploid chromosome number was 2n= 50 in all specimens. the karyotype consisted of four pairs of metacentric (m), seven pairs of submeta (sm)-subtelocentric (st) and 14 pairs of acrocentric (a) chromosomes...

In this paper‎, ‎we first present some properties of lower and upper central series of pair of groups‎. ‎Then the notion of $n$-isoclinism for the classification of pairs of groups is introduced‎, ‎and some of the structural properties of the created classes are proved‎. ‎Moreover some interesting theorems such as Baer Theorem‎, ‎Bioch Theorem‎, ‎Hirsh Theorem for pair of groups are generalized...