The objective of this paper is to define and study new generalized extended gamma functions. A generalized extended gamma probability density function involving generalized hypergeometric function is also defined. Closed form representations of the generalized gamma functions and the moment generating function are derived in the form of H-function using inverse Mellon transform techniques. Inco...

We consider a generalization of the gamma function which we term as lambda analogue or $\lambda$-gamma and further, establish some its accompanying properties. For particular case when $\lambda=1$, results established reduce to involving classical function. The techniques employed in proving our are analytical nature.

Objectives: Autism Spectrum Disorder (ASD) is a group of neurodevelopment syndromes with impairments in social communications and restrictive or repetitive behaviors. Neurofeedback is a new method that may regulate neuro and metabolic function in brain. This study is semi-experimental, with pre and post test.  Methods: In 26 children with ASD, 40 sessions of Neurofeedback were done. Brain...

We consider corner scattering for the operator $\nabla \cdot \gamma(x)\nabla +k^2\rho(x)$ in $\mathbb{R}^2$, with $\gamma$ a positive definite symmetric matrix and $\rho$ scalar function. A is referred to one that on boundary of (compact) support $\gamma(x)-I$ or $\rho(x)-1$, where $I$ stands identity matrix. assume function small neighborhood corner. show any admissible incident field will be ...

The antiferromagnetic quantum Ising chain has a critical point which belongs to the universality class of transverse model (TIM). When longitudinal field ($h$) is switched on, phase transition preserved, turns first-order for $h/\Gamma \to \infty$, $\Gamma$ being strength field. Here we will re-examine properties along line. During block renormalization group calculation, TIM fixed $h/\Gamma>0$...

We consider sums of the form $\sum \phi(\gamma)$, where $\phi$ is a given function, and $\gamma$ ranges over ordinates nontrivial zeros Riemann zeta-function in interval. show how numerical estimation such can be accelerated by simple device, give examples involving both convergent divergent infinite sums.