Calculating Principal Eigen-Functions of Non-Negative Integral Kernels: Particle Approximations and Applications

Integral and Nonnegativity Preserving Approximations of Functions

In this paper we consider the problem of approximating a function by continuous piecewise linear functions that preserve the integral and nonnegativity of the original function.

Non{symmetric Jack Polynomials and Integral Kernels

We investigate some properties of non-symmetric Jack, Hermite and Laguerre polynomials which occur as the polynomial part of the eigenfunctions for certain Calogero-Sutherland models with exchange terms. For the non-symmetric Jack polynomials, the constant term normalization N is evaluated using recurrence relations, and N is related to the norm for the non-symmetric analogue of the power-sum i...

Cauchy Principal Value Contour Integral with Applications

Cauchy principal value is a standard method applied in mathematical applications by which an improper, and possibly divergent, integral is measured in a balanced way around singularities or at infinity. On the other hand, entropy prediction of systems behavior from a thermodynamic perspective commonly involves contour integrals. With the aim of facilitating the calculus of such integrals in thi...

Triangular approximations of fuzzy number with value and ambiguity functions

Integral Properties of Zonal Spherical Functions, Hypergeometric Functions and Invariant

Some integral properties of zonal spherical functions, hypergeometric functions and invariant polynomials are studied for real normed division algebras.