We discuss a family of time-reversible, scale-invariant diffusions with singular coefficients. In analogy with the standard Gaussian theory, a corresponding family of generalized characteristic functions provides a useful tool for proving limit theorems resulting in non-Gaussian, scale-invariant diffusions. We apply the generalized characteristic functions in combination with a martingale const...

There are presented the investigations in the framework of pseudoanalysis semirings whose operations are generated with functions of one variable. Based on the operations with generators there was developed a theory of generalized functions in analogy to the Mikusiński’s operators, which enables the construction of a generalized solution of the Burgers equation. There are considered extensions ...

The main aim of this paper is to introduce generalized forms of operational rules associated with operators corresponding to a generalized Hermite matrix polynomials expansions. The associated generating functions is reformulated within the framework of an operational formalism and the theory of exponential operators. We obtain to unilateral and bilateral generating functions by using the same ...

We introduce a new notion called weakly contra-(μ, λ)-continuous functions as functions on generalized topological spaces [17]. We obtain some characterizations and several properties of such functions. The functions enable us to formulate a unified theory of several modifications of weak contra-continuity due to Baker [9]. Mathematics Subject Classification (2010): 54A05, 54C10.

background: there is a great amount of literature concerning the effect of racial segregation on health outcomes but few papers have discussed the effect of segregation on the basis of social, demographic and economic characteristics on health. we estimated the independent effect of segregation of determinants of socioeconomic status on infant mortality in iranian population. methods: for measu...