In this study, the beta function that is encountered in computational mathematics and physics analyzed. The correct evaluation of also affects accuracy other mathematical functions quantum mechanical calculations. Especially recent years, there an interest studies related to for zero negative p q integers. This considering neutrix limits function, presents new relations numerical computation es...

introduction: leptin is an adipocyte-derived hormone. exogenous leptin allows the recovery of the reproductive function. in humans, leptin correlates positively with the body mass index (bmi). the aim of this study was to investigate the association of leptin with the toxic effects of iron overload. methods: 219 major beta thalassemic patients (119 men, 100 women) and 137 non thalassemic indivi...

Using the Bernstein theorem we give a simple proof of complete monotonicity three parameter generalized Mittag-Leffler function $E_{\alpha, \beta}^{\gamma}(-x)$ for $x \geq 0$ and suitably adjusted parameters $\alpha$, $\beta$ $\gamma$

In this paper, we introduce a new sampling plan based on the defective proportion of batch. The proposed sampling plan is based on the distribution function of the proportion defective. A continuous loss function is used to quantify deviations between the proportion defective and its acceptance quality level (AQL).  For practical purpose, a sensitivity analysis is carried out on the different v...

background: members of the eukaryotic hsp90 family function as important molecular chaperones in the assembly, folding and activation of cellular signaling in development. two hsp90 genes, hsp90 alpha and hsp90 beta, have been identified in fish and homeothermic vertebrates but not in poikilothermic vertebrates. in the present study, the expression of hsp90 alpha and hsp90 beta genes in xenopus...

We give necessary and sufficient conditions for an orthogonal series to converge in the mean-squares a nonnegative function. present many examples applications, analysis probability. In particular, we Lancaster-type of expansion $% \sum_{n\geq 0}c_{n}\alpha _{n}(x)\beta _{n}(y)$ with two sets polynomials $\left\{ \alpha _{n}\right\} $ \beta means-squares bivariate study properties set $C(\alpha...

abstract objective cardiac dysfunction is a major cause of death in patients with beta thalassemia. in these patients, repeated blood transfusion, ineffective erythropoiesis and increased gastrointestinal iron absorption lead to iron overload in the body and this induced heart failure. left ventricular ejection fraction was measured in major beta thalassemia (β-th) patients to detect the relati...

We provide a simple extension of Bolthausen's Morita type proof the replica symmetric formula [E. Bolthausen, Stat. Mech. Classical and Disordered Systems, pp. 63-93 (2018)] for Sherrington-Kirkpatrick model prove symmetry all $(\beta,h)$ that satisfy $\beta^2 E \operatorname{sech}^2(\beta\sqrt{q}Z+h) \leq 1$, where $q = E\tanh^2(\beta\sqrt{q}Z+h)$. Compared to (2018)], key argument is apply co...