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On $d$-orthogonal Tchebychev polynomials, II

1997
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Methods and Applications of Analysis
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In Part I, we considered the following problem: Find all d-orthogonal polynomial sequences {Pn}n>0 such that P^ ^ = P n , n = 0,1,2,..., where {Pn }n>0 is the associated polynomial sequence of {Pn}n>0-The resulting polynomials are an extension of the classical Tchebychev polynomials of the second kind. A detailed study was made in the particular case d = 2. The purpose of this paper is to make similar investigations by considering the analogous problem: Find all d-orthogonal polynomial

doi:10.4310/maa.1997.v4.n4.a3
fatcat:p5ilb5w3p5dsncjhhvu53j4ghu