Multivariable biorthogonal Hahn polynomials

Journal Article · Wed Mar 01 04:00:00 EST 1989 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.528430· OSTI ID:6386726

Tratnik, M V

A multivariable biorthogonal generalization of the discrete Hahn polynomials, a p+1 complex parameter family, where p is the number of variables, is presented. It is shown that the polynomials are orthogonal with respect to subspaces of lower degree and biorthogonal within a given subspace. These properties are over the discrete simplex 0less than or equal tox/sub 1/+x/sub 2/+xxx+x/sub p/less than or equal to..delta.., where x/sub 1/, x/sub 2/,...,x/sub p/ and ..delta.. are non-negative integers. Some further properties of the closely related multivariable continuous Hahn polynomials are also discussed.

• Research Organization: Center for Nonlinear Studies and Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico, 87545
• OSTI ID: 6386726
• Journal Information: J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 30:3; ISSN JMAPA
• Country of Publication: United States
• Language: English

Related Subjects

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