Hermite Orthogonal Polynomials of a Discrete Variable
Copyright policy )Hermite Orthogonal Polynomials of a Discrete Variable
The Hermite orthogonal polynomials on a discrete point set are constructed. A discrete point set, a weight function and normalizing factors are obtained, and the orthogonality of them is proved. The problems of an approximation of functions by one, two and three variables with the help of interpolation of the Hermite series constructed on the appropriate discrete point set are considered.
- Vladivostok State University of Economics and Service Russian Federation
- Joint Institute for Nuclear Research Russian Federation
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Computation of special functions and constants, construction of tables, weight function, Chebyshev systems, Numerical approximation and evaluation of special functions, orthogonal polynomials, interpolation
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Computation of special functions and constants, construction of tables, weight function, Chebyshev systems, Numerical approximation and evaluation of special functions, orthogonal polynomials, interpolation
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