Multivariate Stieltjes type theorems and location of common zeros of multivariate orthogonal polynomials
Copyright policy )Multivariate Stieltjes type theorems and location of common zeros of multivariate orthogonal polynomials
The first two authors have studied in detail properties associated with 2-variable orthogonal polynomials in their earlier communications [J. Inf. Comput. Sci. I(1), 103--106 (2004); J. Math. Anal. Appl. 324, No. 2, 785--789 (2006; Zbl 1112.33006); the first author and \textit{R. Wang}, J. Math. Anal. Appl. 268, No. 1, 171--183 (2002; Zbl 1025.42012)]. In their present work, the authors initiate study of multivariable orthogonal polynomials by taking up invariant factors and ``extending'' them from two variable case to several variable case. Allied interesting results such as Stieltjes-type theorem are also obtained.
- Delaware State University United States
- Race Forward United States
- Dalian Polytechnic University China (People's Republic of)
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Other hypergeometric functions and integrals in several variables, Stieltjes-type theorem, Applications of hypergeometric functions, bivariate and multivariate orthogonal polynomials, Jacobi matrix, Applied Mathematics, Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable, Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis, Analysis, invarianct factors
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Other hypergeometric functions and integrals in several variables, Stieltjes-type theorem, Applications of hypergeometric functions, bivariate and multivariate orthogonal polynomials, Jacobi matrix, Applied Mathematics, Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable, Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis, Analysis, invarianct factors
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