Quasi-orthogonality with applications to some families of classical orthogonal polynomials
Applied Numerical Mathematics
A contribution to quasi-orthogonal polynomials and associated polynomials
Applied Numerical Mathematics
Interlacing of zeros of shifted sequences of one-parameter orthogonal polynomials
Numerische Mathematik
Journal of Approximation Theory
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We study the interlacing properties of the zeros of orthogonal polynomials p"n and r"m, m=n or n-1 where {p"n}"n"="1^~ and {r"m}"m"="1^~ are different sequences of orthogonal polynomials. The results obtained extend a conjecture by Askey, that the zeros of Jacobi polynomials p"n=P"n^(^@a^,^@b^) and r"n=P"n^(^@c^,^@b^) interlace when @a