NEAR RINGS ADMITTING CERTAIN DECOMPOSITION THEOREMS

In the present paper we shall investigate some decomposition theorems for near rings satisfying any one of the conditions; (1)  (2)whereare integers

Some Summation Theorems for Clausen’s Hypergeometric Functions with Unit Argument

Motivated by the work on hypergeometric summation theorems, we establish new summation formula for Clausen’s hypergeometric function with unit argument in terms of pi and natural logarithms of some rational and irrational numbers. For the application purpose, we derive some new and modified summation theorems for Clausen’s hypergeometric functions using our new formula

Posttransplant Metabolic Syndrome

Metabolic syndrome (MS) is a cluster of metabolic derangements associated with insulin resistance and an increased risk of cardiovascular mortality. MS has become a major health concern worldwide and is considered to be the etiology of the current epidemic of diabetes and cardiovascular disease. In addition to cardiovascular disease, the presence of MS is also closely associated with other comorbidities including nonalcoholic fatty liver disease (NAFLD). The prevalence of MS in patients with cirrhosis and end-stage liver disease is not well established and difficult to ascertain. Following liver transplant, the prevalence of MS is estimated to be 44–58%. The main factors associated with posttransplant MS are posttransplant diabetes, obesity, dyslipidemia, and hypertension. In addition to developing NAFLD, posttransplant MS is associated with increased cardiovascular mortality that is 2.5 times that of the age- and sex-matched individuals. Additionally, the presence of posttransplant MS has been associated with rapid progression to fibrosis in individuals transplanted for HCV cirrhosis. There is an urgent need for well-designed prospective studies to fully delineate the natural history and risk factors associated with posttransplant MS. Until then, early recognition, prevention, and treatment of its components are vital in improving outcomes in liver transplant recipients

Certain results on Euler-type integrals and their applications

This paper deals with the evaluation of some definite Euler-type integrals in terms of the Wright hypergeometric function. We obtain a theorem on the Wright hypergeometric function and then use this theorem to evaluate some definite integrals. Further, we derive some results as applications of these evaluations. Multi-variable cases of the derived results of this paper are also briefly discussed