Throughout this paper, we will present a new extension of the Wright hypergeometric matrix function by employing extended Pochhammer symbol. First, and express certain integral equations differential formulae concerning it. We also Mellin transform function. After that, some fractional calculus findings for these expanded functions. Lastly, several theorems in Kinetic equations.

Background: Brucellosis is one of the important zoonotic diseases with variety of symptoms and signs. Using of cost effective, easy and safe diagnostic methods in screening of brucellosis is an important priority. Several studies have been carried out to recognize appropriate diagnostic methods and each have reported different results. Aim: The aim of this study was to investigate the sensitivi...

In this paper, we show that the moving directions of the primal-affine scaling method (with logarithmic barrier function), the dual-affine scaling method (with logarithmic barrier function), and the primal-dual interior point method are merely the Newton directions along three different algebraic "paths" that lead to a solution of the Karush-Kuhn-Tucker conditions of a given linear programming ...

Abstract. Long term optimal investment problems are studied in a factor model with matrix valued state variables. Explicit parameter restrictions are obtained under which, for an isoelastic investor, the finite horizon value function and optimal strategy converge to their long-run counterparts as the investment horizon approaches infinity. This convergence also yields portfolio turnpikes for ge...

We consider a supply function equilibrium (SFE) model of interaction in an electricity market. We assume a linear demand function and consider a competitive fringe and several strategic players all having capacity limits and affine marginal costs. The choice of SFE over Cournot equilibrium and the choice of affine marginal costs is reviewed in the context of the existing literature. We assume t...

Given a tau-function $\tau(t)$ of the BKP hierarchy satisfying $\tau(0)=1$, we discuss relation between its BKP-affine coordinates on isotropic Sato Grassmannian and BKP-wave function. Using this result, formulate type Kac-Schwarz operators for in terms coordinates. As an example, compute affine spin single Hurwitz numbers with completed cycles, find pair $(P,Q)$ $[P,Q]=1$. By doing this, obtai...

‎Highest weight modules of the double affine Lie algebra $widehat{widehat{mathfrak{sl}}}_{2}$ are studied under a‎ ‎new triangular decomposition‎. ‎Singular vectors of Verma modules are‎ ‎determined using a similar condition with horizontal affine Lie‎ ‎subalgebras‎, ‎and highest weight modules are described under the‎ ‎condition $c_1>0$ and $c_2=0$.