The Wright-Fisher family of diffusion processes is a class of evolutionary models widely used in population genetics, with applications also in finance and Bayesian statistics. Simulation and inference from these diffusions is therefore of widespread interest. However, simulating a Wright-Fisher diffusion is difficult because there is no known closed-form formula for its transition function. In...

In this paper, the authors define a new generic class of functions involving certain modified Fox–Wright function. A useful identity using fractional integrals and function with two parameters is also found. Applying as an auxiliary result, we establish some Hermite–Hadamard-type integral inequalities by above-mentioned functions. Some special cases are derived relevant details. Moreover, in or...

Several extensions of the classical Mittag-Leffler function, including multi-parameter and multivariate versions, have been used to define fractional integral derivative operators. In this paper, we consider a function one variable with five parameters, special case Fox–Wright function. It turns out that most natural way based on requires considering it as two variables. This gives rise model b...

In this paper, we define a generalized class of starlike functions with negative coefficients and obtain coefficient estimates, distortion bounds, closure theorems and extreme points. Further we obtain modified Hadamard product, radii of close-to-convex, starlikeness and convexity for functions belonging to this class. Furthermore neighborhood results are discussed.

The close form of some integrals involving recently developed generalized k-Struve functions is obtained. The outcome of these integrations is expressed in terms of generalized Wright functions. Several special cases are deduced which lead to some known results.

Explicit closed forms are derived for the probability density function of the stable distribution Sα(β, γ, μ), α ∈ (1, 2]. Consequent asymptotic expansions are given. The expressions involve the Srivastava-Daoust generalized Kampé de Fériet hypergeometric S-function, the Fox-Wright generalized hypergeometric Ψ-function, and the Gauss hypergeometric function 2F1. 2000 Mathematics subject classif...

Background: Brucellosis is one of the endemic and a Zoonotic disease of the Iran. Science the rapid diagnosis and quick treatment are very important, selection of a sensitive and specific test solving this problem is of a great importance. The main aim of this study is comparison of routine serologic test with standard Elisa test. Materials and methods: In this survey, 176 suspected patient...