Empirical correlations between various key parameters have been extensively explored ever since the discovery of gamma-ray bursts (GRBs) and widely used as standard candles to probe Universe. The Amati relation Yonetoku are two good examples that enjoyed special attention. former reflects connection peak photon energy (Ep) isotropic $\gamma$-ray release (Eiso), while latter links Ep with lumino...

In this paper, we first introduce the incomplete extended Gamma and Beta functions with matrix parameters; then, establish some different properties for these new extensions. Furthermore, give a specific application Bessel function by using functions; at last, construct relation between confluent hypergeometric function.

In this work, we use angular diameter distances of 38 galaxy clusters with joint X-ray/SZE observation to circumvent the circularity problem in Amati relation for Gamma-ray Bursts (GRBs). Assuming validity cosmic-distance duality relation, obtain luminosity distance from cluster and that calculate isotropic equivalent energy two different GRB datasets, after restricting redshift range $z<0.9$. ...

The official data in relation to salaries paid in Spain from 1999 to 2014 has been analyzed. The inadequate data format does not reflect the whole salary distribution. Fréchet distributions have been fitted to the data. This simple distribution has similar accuracy in relation to the data when compared to other distributions (Log-Normal, Gamma, Dagum, GB2). Analysis of the data through the fitt...

The free photon dispersion relation is a reference quantity for high precision tests of Lorentz Invariance. We first outline effective approaches to a conceivable Lorentz Invariance Violation (LIV). Next we address phenomenological tests based on the propagation of cosmic rays, in particular in Gamma Ray Bursts (GRBs). As a specific concept, which could imply LIV, we then focus on field theory ...

Building on Nakar & Piran’s analysis of the Amati relation relating gammaray burst peak energies Ep and isotropic energies Eiso, we test the consistency of a large sample of BATSE bursts with the Amati and Ghirlanda (which relates peak energies and actual gamma-ray energies Eγ) relations. Each of these relations can be expressed as a ratio of the different energies that is a function of redshif...

BACKGROUND The immunologic findings that most consistently correlate with resistance in human schistosomiasis are high levels of IgE and low levels of IgG4. We have genotyped gene and promoter polymorphisms of cytokines associated with regulation of these isotypes in a cohort of men occupationally exposed to Schistosoma mansoni in western Kenya and evaluated their patterns with respect to resis...

Gamma-Secretase is responsible for proteolytic maturation of signaling and cell surface proteins, including amyloid precursor protein (APP). Abnormal processing of APP by gamma-secretase produces a fragment, Abeta(42), that may be responsible for Alzheimer's disease (AD). The biogenesis and trafficking of this important enzyme in relation to aberrant Abeta processing is not well defined. Using ...

In candidate Kitaev materials, the off-diagonal $\Gamma$ and $\Gamma'$ interactions are identified to come from spin-orbit coupling trigonal distortion, respectively. They have generated intense research efforts because of their intimate relation field-induced magnetically disordered state reported in $\alpha$-RuCl$_3$. Theoretically, while a plethora phases has been proposed honeycomb lattice,...