Multivariable continuous Hahn polynomials
Copyright policy )Multivariable continuous Hahn polynomials
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).
Approximation by polynomials, continuous Hahn polynomials, multivariable weight function, Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis
Approximation by polynomials, continuous Hahn polynomials, multivariable weight function, Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis
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