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Multivariable continuous Hahn polynomials (1988)

Tratnik, M. V.

College Park, Md. : American Institute of Physics (AIP)

Journal of Mathematical Physics 29 (1988), S. 1529-1534

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ISSN: 1089-7658

Source: AIP Digital Archive

Topics: Mathematics , Physics

Notes: A multivariable generalization of the continuous Hahn polynomials is presented; it is a (4p+4)-parameter family, where p is the number of variables. It is shown that they are orthogonal with respect to subspaces of equal degree and biorthogonal within a given subspace. In the simplest case the multivariable weight function takes the form sech[π(x1+x2+⋅⋅⋅+xp)]sech(πx1) sech(πx2)⋅⋅⋅sech(πxp).

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1063/1.527898

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